A certain gas is expanded from (1 L, 10 atm) to (4 L, 5 atm) against a constant external pressure of 1 atm. If the initial temperature of the gas is 300 K and the heat capacity for the process is $50 J / C^{0}$ , the enthalpy change during the process is :

15 kJ

No worries! We‘ve got your back. Try BYJU‘S free classes today!

15.7 kJ

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

14.3 kJ

No worries! We‘ve got your back. Try BYJU‘S free classes today!

14.7 kJ

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 15.7 kJ
The amount of gas expanded using the ideal gas equation:
$P_{1} V_{1} = n R T_{1}$
$10 \times 1 = n \times 0.0821 \times 300$
n = 0.4 mole
Final temperature obtained:
$P_{2} V_{2} = n R T_{2}$
$5 \times 4 = 0.4 \times 0.0821 \times T_{2}$
$T_{2}$ = 600 K
Work done during expansion = $- P_{e x t} (V_{2} - V_{1}$ )
= -1(4-1) atm L = 300 J
and heat involved = $Q = C_{p} d T$
= $50 \times (600 - 300$ ) = 15000 J
Using equation $δ U = δ Q + δ W$
= 15000-300 = 14700 J
and $δ H = δ U + δ (P V)$
= 14700 + $(4 \times 5 - 10 \times 1) \times 100$ J
=15700J = 15.7 kJ

Suggest Corrections

Similar questions

Q. A certain mass of gas is expanded from

(1 L, 10 a t m)

(4 L, 5 a t m)

against a constant external pressure of

1 a t m

. If the initial temperature of the gas is

300 K

and the heat capacity of the process is

50 J /^{\circ} C

. Then the enthalpy change during the process is:

(1 L a t m ≃ 100 J)

Q. One mole of a gas is expanded from (1 L, 10 atm,300K) to (4 L, 5 atm,600K) against a constant external pressure of 1 atm. The heat capacity of gas is

50 J / K .

Then the enthalpy change during the process is (1 L atm

≃

100 J)

A certain mass of gas is expanded from (1L, 10 atm) to (4L, 5 atm) against a constant external pressure of 1 atm. If initial temperature of gas is 300K and the heat capacity of process is $50 J /^{\circ} C$ . Then the enthalpy change during the process is:
(1L atm = 100 J)

Q. A certain of gas is expanded from (1L,10atm) to (4L,5atm) against a constant external pressure of 1atm. If the initial temperature of a gas is 300K, and the heat capacity of the process is 50J/degree celsius. The change during the reaction is: (1L atm= 100J)

Q. A certain gas is expanded from (1 L, 10 atm) to (4 L, 5 atm) against a constant external pressure of 1 atm. If the initial temperature of the gas is 300 K and the heat capacity for the process is

50 J / C^{0}

, the enthalpy change during the process is :

Join BYJU'S Learning Program

A certain gas is expanded from (1 L, 10 atm) to (4 L, 5 atm) against a constant external pressure of 1 atm. If the initial temperature of the gas is 300 K and the heat capacity for the process is 50 J/C0, the enthalpy change during the process is :

A certain gas is expanded from (1 L, 10 atm) to (4 L, 5 atm) against a constant external pressure of 1 atm. If the initial temperature of the gas is 300 K and the heat capacity for the process is $50 J / C^{0}$ , the enthalpy change during the process is :