an unknown gas of mass 12 grams and molar mass 120 grams is kept in a closed vessel at 1 atm at T degree Celsius. If we increase temperature by 10 degree Celsius, pressure rises by 20%. Find temperature and volume.
Please provide a step-by-step solution.
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Answer:
PV=nRT
PV=nRT= w/m RT
1×V= 12/12 0 ×R×(273+t)-------(i)
1.1×V= 12/12 0 ×R×(273+t+10)-----------(ii)
Dividing equation (ii) by equation (i), we get
1.1= (273+t+10) /(273+t)
or t=−173^∘ C
Putting this value in equation (i), we get
1×V=12 /120 ×0.0821×(273−173)
or V=0.821 L
∴V= x×1000=0.821×1000=821
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