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A mass M = 15 g of nitrogen is enclosed ...

A mass M = 15 g of nitrogen is enclosed in a vessel at temperature T = 300 K. What amount of heat has to be transferred to the gas to increase the root-mean-square velocity of molecules 2 times ?

A

`10 kJ`

B

`6 kJ`

C

`0.9 kJ`

D

`14 kJ`

Text Solution

Verified by Experts

The correct Answer is:
A
RMS velocity is doubled
`Q=nC_v triangleT= (15)/(28)xx(5R)/(2)xx(1200-`
`T_f = 1200K`
`C_v=(5R)/(2)` (diatomic)
Process isochoric `Q=(15xx5)/(28xx2)xx900xxR approx 20KJ`.
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