at a given temperature the pressure of a given gas reduces to 75% of its initials value and the volume increases by 40% of its initials value. find its temperature if the initial temperature was -10 degrees Celsius
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English assimiment questions and answers class 9th
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Explanation:
Let the initial pressure of the gas be p1, volume be V1 and temperature be T1. We will use the following relation
p1V1 / T1 = p2 V2 / T2
We are given that T1 is -11 degree Celsius. We are also given that at a temperature the pressure reduces to 75 % of the initial value and volume increases to 40 % of the initial value. Thus p2 = 0.75p1 and V2 = 0.4V1 . We now have to find T2. Substituting the values of p2 and V2 in equation (1), we get
p1V1 / (-11) = p2 V2 / T2 = 0.75p1 X 0.4V1 / T2
This gives T2 = -3.3
Thus the temperature would be -3.30 Celsius.
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