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IF heated to 35^@C at constant pressure,...

IF heated to `35^@C` at constant pressure, the volume of gas increases from 5L to `0^@C` by `640 cm^3`. What should be the value of absolute zero for this gas in Celsius scale?

Text Solution

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Let the absolute zero temperature for that gas be `-T^@C`.
So, `0^@C=TK=T_1,35^@C=(T+35)K=T_2`
`V_1=5000 cm^3and V_2=5000+640 =5640 cm^3`
As per Charle.s law ,`V_1/T_1=V_2/T_2` at constant pressure.
`therefore5000/T=5640/(T+35)or,500(T+35)=564T`
`64T=17500,T=17500/64=273.43`
Hence absolute zero is Celsius scale =`-273.43^@C`
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