At a given temperature the pressure of gas reduces to 75% of its initial value and the volume increases by 40% of its initial value. Find the temperature if the initial temperature was -10 degree Celsius. 

Asked by skkvaish | 23rd May, 2019, 08:20: AM

Expert Answer:

Ideal gas equation
P V equals n R T

P subscript 1 equals P
P subscript 2 equals P cross times 75 over 100
space space space space equals.75 P
space space space space
V subscript 1 equals V
V subscript 2 equals V plus V cross times 40 over 100
space space space space space equals space V plus.4 V
space space space space space space equals 1.4 V

T subscript 1 equals 273 minus 10 equals 263 K
T subscript 2 equals ?

S o space n u m b e r space o f space m o l e s space a r e space s a m e space i n space b o t h space s i t u a t i o n space s o

fraction numerator P subscript 1 V subscript 1 over denominator T subscript 1 end fraction equals fraction numerator P subscript 2 V subscript 2 over denominator T subscript 2 end fraction
fraction numerator P V over denominator 263 end fraction equals fraction numerator.75 P cross times 1.4 V over denominator T subscript 2 end fraction
T subscript 2 equals 263 cross times.75 cross times 1.4
space space space equals 276.15 K

i n space degree space C space space space

equals 276.15 K minus 273.15
equals 3 space degree C
space space space space space space space space space space

Answered by Ravi | 23rd May, 2019, 11:29: AM