Question
When a gas filled in a closed vessel is heated upto `1^circ C` it increases by 0.4 % . The initial temperature of the gas was :
Answer: Option B
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From the law of pressure ` prop` T
or`P_1/P_2 = T_1/T_2`
or `P_1/T_1 = P_2/T_2`
Here `P_1 = P, T_1 = T`
` P_1 = P + 0.4% , P = 1.004 P`
` T_2 = T + 1`
`:.` ` P/T = (1.004 P)/(T + 1)`
or ` T + 1 = 1.004 T`
or 0.004 T = 1
or T = `250^circ C`
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