A mass m of an ideal gas initially has volume
V and temperature T. When it is kept at
constant volume V, heat Q is required to
increase its temperature to T. + dT. If the
volume is not kept constant, but the gas
expands from V to 3V. when the temperature
increases from T to (T + 2dT), then the heat
supplied must be
1) less than 2Q 2) equal to 2Q
3) more than 2Q 4) equal to 6Q
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INITIALAnswer:
given = P₁V₁/T₁ = P₂V₂/T₁ , V₁ = V₀ V₂ = 3V₀
T₁ = T₀ T₂ = T₀ +2ΔT
TO find = heat supplied
solution ;-
V₁ / T₁ = V₂/T₂ = V₀/T₀
= 3V₀/T₀+2ΔT = 3T₀
T₀ =ΔT
then , heat supplied will be,
msΔT = ms(2T₀)
msT₀ = initial heat
heat supplied = 2Q
therefore option b is correct
it is equal to 2Q
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