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Question: A gas at the temperature 250 K is contained in a closed vessel. If the gas is heated through 1K, the...

A gas at the temperature 250 K is contained in a closed vessel. If the gas is heated through 1K, then the percentage increase in its pressure will be

A

0.4%

B

0.2%

C

0.1%

D

0.8%

Answer

0.4%

Explanation

Solution

PTP \propto T Ž P1P2=T1T2\frac{P_{1}}{P_{2}} = \frac{T_{1}}{T_{2}}Ž P2P1P1=T2T1T2\frac{P_{2} - P_{1}}{P_{1}} = \frac{T_{2} - T_{1}}{T_{2}}

Ž (ΔPP)%=(251250250)×100\left( \frac{\Delta P}{P} \right)\% = \left( \frac{251 - 250}{250} \right) \times 100 = 0.4 %