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The temperature of 5 moles of a gas is d...

The temperature of 5 moles of a gas is decreased by 2K at constant pressure of 1 atm. Indicate the correct statement

A

Work done by gas is = 5R

B

Work done on the gas is = 10R

C

Work done by the gas = 6R

D

Work done = 0

Text Solution

Verified by Experts

The correct Answer is:
B
For 5 moles of gas at temperature T,
`pv_(1) = 5RT`
For 5 moles of gas at temperature T-2
`PV_(2) = 5R (T-2)`
`:. P(V_(2) - V_(1)) = 5R (T-2-T), P Delta V = -10R, - P Delta V = 10R`
When `DeltaV= 10R`
When `Delta V` is negative, W is +ve
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