Recent questions tagged ch13

Evaluate the following limits $ \lim\limits_{ x \to 0} \large\frac{\cos\: 2x-1}{\cos\: x - 1}$

asked Apr 3, 2014 by thanvigandhi_1

1 answer

Evaluate the following limits $ \lim\limits_{x \to 0} \large\frac{ \cos \: x}{ \pi - x}$

asked Apr 3, 2014 by thanvigandhi_1

1 answer

Evaluate the following limits $ \lim\limits_{ x \to \pi} \large\frac{ \sin ( \pi - x)}{ \pi ( \pi - x)}$

asked Apr 3, 2014 by thanvigandhi_1

1 answer

Evaluate the following limits \[\] $ \lim\limits_{ x \to 0} \large\frac{ \sin \: ax}{ \sin \: bx}, $$ a , b \neq 0$

asked Apr 3, 2014 by thanvigandhi_1

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Evaluate the following limits: $ \lim\limits_{x \to 0} \large\frac{ \sin \: ax}{bx}$

asked Apr 3, 2014 by thanvigandhi_1

1 answer

Evaluate the following limits: $ \lim\limits_{x \to -2} \Large\frac{ \Large\frac{1}{x}+ \Large\frac{1}{2}}{ \normalsize x +2}$

asked Apr 3, 2014 by thanvigandhi_1

1 answer

Evaluate the following limits $ \lim\limits_{x \to 1} \large\frac{ax^2+bx+c}{cx^2+bx+a},$$ a+b+c \neq 0$

asked Apr 3, 2014 by thanvigandhi_1

1 answer

Evaluate the following limits $ \lim\limits_{\large z \to 1} \large\frac{\large z^{\large\frac{1}{3}}-1}{z^{\large\frac{1}{6}}-1}$

asked Apr 3, 2014 by thanvigandhi_1

1 answer

Evaluate the following limits $ \lim\limits_{x \to 0} \large\frac{ax+b}{cx+1}$

asked Apr 3, 2014 by thanvigandhi_1

1 answer

Evaluate the following limits $ \lim\limits_{x \to 3} \large\frac{x^4-81}{2x^2-5x-3}$

asked Apr 3, 2014 by thanvigandhi_1

1 answer

Evaluate the following limits $ \lim\limits_{x \to 2} \large\frac{3x^2-x-10}{x^2-4}$

asked Apr 3, 2014 by thanvigandhi_1

1 answer

Evaluate the following limits $ \lim\limits_{x \to 0} \large\frac{(x+1)^5-1}{x}$

asked Apr 3, 2014 by thanvigandhi_1

1 answer

Evaluate the following limits $ \lim\limits_{ x \to -1} \large\frac{x^{10}+x^5+1}{x-1}$

asked Apr 3, 2014 by thanvigandhi_1

1 answer

Evaluate the following limits $ \lim\limits_{x \to 4} \large\frac{4x+3}{x-2}$

asked Apr 3, 2014 by thanvigandhi_1

1 answer

Evaluate the following limits $ \lim\limits_{x \to 1} \pi r^2$

asked Apr 3, 2014 by thanvigandhi_1

1 answer

Evaluate the following limits $\lim\limits_{x \to \pi} \bigg( x - \large\frac{22}{7} \bigg)$

asked Apr 3, 2014 by thanvigandhi_1

1 answer

Evaluate the following limits $ \lim\limits_{x \to 3} x+3$

asked Apr 3, 2014 by thanvigandhi_1

1 answer

which of the photosynthetic reactions use the $NADPH$ and $ATP$ to synthesize carbohydrate from $CO_2$ and $H_2O$ ?

asked Apr 3, 2014 by pady_1

1 answer

For hydrogen gas $\;C_{p}-C_{v} =a\;$ and for oxygen $\;C_{p}-C_{v}=b\;$ . Then the relation between a and b is given by

asked Mar 31, 2014 by yamini.v

1 answer

Helium gas is filled vessel ( having negligible thermal expansion coefficeint ) when heated from 300 K to 600 K . Then the average kinetic energy of atom will be

asked Mar 31, 2014 by yamini.v

1 answer

At what temperature the molecule of nitrogen will have the same rms velocity as the molecule of oxygen at $\;127^{0}C\;$ ?

asked Mar 31, 2014 by yamini.v

1 answer

At room temperature , the rms speed of the molecules of a diatomic gas is found to be 1933 m/s . The gas is

asked Mar 31, 2014 by yamini.v

1 answer

A gas mixture consists of 2 mol of oxygen and 4 moles of Argon at temperature T . Neglecting all vibrational moles , the total internal energy of the system is

asked Mar 31, 2014 by yamini.v

1 answer

If 2 moles of diatomic gas and 1 mole of monoatomic gas are mixed , then ratio of specific heats $\;\large\frac{C_{p}}{C_{v}}\;$ is

asked Mar 27, 2014 by yamini.v

1 answer

A monoatomic gas expands at constant pressure on heating . The percentage of heat supplied used for external work is

asked Mar 27, 2014 by yamini.v

1 answer

A gas is heated at constant pressure . The fraction of heat supplied used for external work expressed in terms of the adiabatic index is

asked Mar 27, 2014 by yamini.v

1 answer

The number of particles in a cubic millimeter of a gas at temperature 273 K and 1.00 atm pressure is

asked Mar 27, 2014 by yamini.v

1 answer

A closed vessel contains 8 g of oxygen and 7 g of nitrogen . The total pressure is 10 atm at a given temperature . If now oxygen is absorbed by introducing a suitable absorbent , the pressure of the remaining gas is atm will be

asked Mar 27, 2014 by yamini.v

1 answer

Calculate the temperature if helium atoms have an rms speed equal to the escape velocity from the surface of the Earth (11.2km/s)?

asked Mar 27, 2014 by yamini.v

1 answer

Three closed vessels A , B and C are at the same temperature T and contain gases which obey maxwellian distibution of velocities . Vessel A contains only $\;O_{2}\;$ . B only $\;N_{2}\;$ and C a mixture of equal quantities of $\;O_{2}\;$ and $\;N_{2}\;$ . If the average speed of $\;O_{2}\;$ molecules in vessel A is $\;V_{1}\;$ , that of $\;N_{2}\;$ molecules in vessel B is $\;V_{2}\;$ the average speed of the $\;O_{2}\;$ molecules in vessel C will be

asked Mar 27, 2014 by yamini.v

2 answers

Consider a mixture of oxygen and hydrogen kept at room temperature . As compared to a hydrogen molecule , an oxygen molecule hits the wall

asked Mar 27, 2014 by yamini.v

1 answer

The rms speed of oxygen molecules in a gas is V . If the temperature is doubled and the $\;O_{2}\;$ molecule dissociates into oxygen atoms , the rms speed will become

asked Mar 27, 2014 by yamini.v

1 answer

The function $f(x)=\large\frac{|x|}{x^2+2x}\qquad$$ x\neq 0$ and $f(0)=0$ is not continuous at $x=0$ because

asked Mar 26, 2014 by balaji

1 answer

Which of the following quantities is zero on an average for the molecules of an ideal gas in equilibrium ?

asked Mar 26, 2014 by yamini.v

1 answer

Which of the following is correct for the molecules of a gas in thermal equilibrium ?

asked Mar 26, 2014 by yamini.v

1 answer

Five cards are drawn successively with replacement from a well-shuffled deck of 52 cards. What is the probability that (i) all the five cards are spades? (ii) only 3 cards are spades? (iii) none is a spade?

asked Mar 20, 2014 by balaji.thirumalai

1 answer

If ideal gas is taken through a process given by the graph below, identify which of the following options is incorrect:

asked Mar 11, 2014 by balaji.thirumalai

1 answer

If the plot of density $\rho$ versus temperature $T$ is as given below, identify which of the following statements is incorrect?

asked Mar 11, 2014 by balaji.thirumalai

1 answer

Q Joules of Heat is given to a sample of Helium in such a manner that the pressure remains constant throughout. The work done by the gas is then?

asked Mar 11, 2014 by balaji.thirumalai

1 answer

The equation of a state of gas is given by $PV = nRT + Pb$. If the gas is isothermally expanded from a volume $V$ to $2V$, what is the work done during the process?

asked Mar 11, 2014 by balaji.thirumalai

1 answer

The density of the gaseous mixture of Hydrogen and Carbon-di-Oxide is $\large\frac{30\;g}{22.4\;l}$ at NTP. What is the % composition of Hydrogen and Carbon-di-oxide by volume in the mixture respectively?

asked Mar 11, 2014 by balaji.thirumalai

1 answer

A student while performing an experiment forgot to add the reaction mixture and started heating the open round bottom flask on the flame. If he found the temperature to be $227 ^{\circ} C$ after heating, which was $27 ^{\circ} C$ earlier, what fraction of air would have been expelled out?

asked Mar 11, 2014 by balaji.thirumalai

1 answer

A gaseous compound X contains 44.4% Carbon, 51.9% Nitrogen and 3.7% Hydrogen. Under like conditions, same volume of X as that of Hydrogen took 50 seconds to diffuse whereas Hydrogen took 9.62 seconds. What is the molecular formula of X?

asked Mar 11, 2014 by balaji.thirumalai

1 answer

Consider a gas in a container which is made air tight. Now, there is a movable piston fitted with the container. The gas performs some mechanical work on the piston by moving it. The reason the gas performs its work is because of which of the following?

asked Mar 11, 2014 by balaji.thirumalai

1 answer

2 Moles of Oxygen is heated from $0 ^{\circ} C$ at constant pressure till its volume increases by $20%$. The specific heat of Oxygen is given to be $0.22$ cal$ \;g^{-1} K^{-1}$. What is the amount of heat required?

asked Mar 11, 2014 by balaji.thirumalai

1 answer

For an ideal gas, the following conversions are made:

asked Mar 11, 2014 by balaji.thirumalai

1 answer

An ideal gas has a molar heat capacity pressure $C_p = 2.5 R$. The gas is kept in a closed volume of $0.083 m^3$ at a temperature of $300 ^{\circ}K$ and a pressure of $10^5 N/m^2$. $200J$ of heat is supplied to the gas. Calculate the final temperature and pressure of the gas.

asked Mar 11, 2014 by balaji.thirumalai

1 answer

Two gases are sent through 2 ends of a 2m long pipe. If the gases reach at a distance of 1.5m from the end of the lighter gas, then what is the ratio of their masses (lighter: heavier), assuming pressure conditions to be the same?

asked Mar 11, 2014 by balaji.thirumalai

1 answer

In the figure below, $N_2$ and $H_2$ are sent into the metre pipe through the two ends. At what distance $x$ will Ammonia be formed.

asked Mar 11, 2014 by balaji.thirumalai

1 answer

If N molecules of $O_2$ at $- 73^{\circ}$ possess the same kinetic energy as another sample of $H_2$ at $27^{\circ}$ then the number of molecules of $H_2$ is ?

asked Mar 11, 2014 by balaji.thirumalai

1 answer

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