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A certain gas is expanded from (1L, 10at...

A certain gas is expanded from (1L, 10atm) to (4L, 5atm) against a constant external pressure of 1 atm. If the initial temperature of gas is 300K and heat capacity for the process is `50J ""^(@)C^(-1)` (use 1L atm = 100J), then

A

`|W| = 0.3kJ`

B

`|q| = 15 kJ`

C

`Delta U = 14.7 kJ`

D

`Delta H = 15.7 kJ`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Constant, P, `W = - P_("ext") Delta V`
`= -1 xx (4-1) = - 3` latern, `|W| = 0.3 KJ`
`(P_(1)V_(1))/(T_(1)) = (P_(2)V_(2))/(T_(2)), (1 xx 10)/(300)= (4 xx 5)/(T_(2)) , T_(2) = 600K`
`|q| = C Delta T = (50 xx 300)/(1000) = 15KJ`
`Delta U = q + W = + 15 - 0.3 = 14.7`
`Delta H = Delta U + Delta (PV)`
`=14.7 + (5 xx 4 - 10 xx 1) xx 0.1 KJ = 15.7 KJ`
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