Question

Two moles of ideal helium gas are in a rubber balloon at $$30°C.$$  The balloon is fully expandable and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to $$35°C.$$  The amount of heat required in raising the temperature is nearly (take $$R = 8.31\, J /mol. K$$   )

A. $$62\, J$$
B. $$104\, J$$
C. $$124\, J$$
D. $$208\, J$$  
Answer :   $$208\, J$$
Solution :
The heat is supplied at constant pressure. Therefore,
$$\eqalign{ & Q = n{C_p}\,\Delta \,t \cr & = 2\left[ {\frac{5}{2}R} \right] \times \Delta\, t \cr & = 2 \times \frac{5}{2} \times 8.31 \times 5 \cr & = 208\,J \cr & \left( {\because \,\,{C_p} = \frac{5}{2}\,R{\text{ for mono - atomic gas}}} \right) \cr} $$

Releted MCQ Question on
Heat and Thermodynamics >> Thermodynamics

Releted Question 1

An ideal monatomic gas is taken round the cycle $$ABCDA$$   as shown in the $$P - V$$  diagram (see Fig.). The work done during the cycle is
Thermodynamics mcq question image

A. $$PV$$
B. $$2PV$$
C. $$\frac{1}{2}PV$$
D. zero
Releted Question 2

If one mole of a monatomic gas $$\left( {\gamma = \frac{5}{3}} \right)$$  is mixed with one mole of a diatomic gas $$\left( {\gamma = \frac{7}{5}} \right)$$  the value of $$\gamma $$ for mixture is

A. 1.40
B. 1.50
C. 1.53
D. 3.07
Releted Question 3

A closed compartment containing gas is moving with some acceleration in horizontal direction. Neglect effect of gravity. Then the pressure in the compartment is

A. same everywhere
B. lower in the front side
C. lower in the rear side
D. lower in the upper side
Releted Question 4

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

A. $$4\, RT$$
B. $$15\, RT$$
C. $$9\, RT$$
D. $$11\, RT$$

Practice More Releted MCQ Question on
Thermodynamics


Practice More MCQ Question on Physics Section