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Question

At constant volume, when the temperature of a gas increases by 1 C, its pressure increases by 0.4 %. What is its initial temperature ?

A
250 K
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B
125 K
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C
195 K
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D
329 K
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Solution

The correct option is A 250 K
At a constant volume, Pressure Temperature
Thus, we can write that,
P1P2=T1T2
Given, Initial pressure (P1)=P
Final pressure (P2)=P+0.4100P
Initial temperature (T1)=TK
Final temperature (T2)=(T+1)K (Temperature change in degree scale is same as Temperature change in kelvin scale)
PP+0.4100P=TT+1
100100.4=TT+1
T=250 K
Hence, option (a) is the correct answer.


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