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one mole of an ideal monatomic gas undergoes a process described by the equation PV^3=constant.The heat capacity of the gas during this process is

a.R

b.3/2R

c.5/2R

d.2R

Asked by aayush 7th March 2018, 7:34 PM
Answered by Expert
Answer:
begin mathsize 12px style T h e space p r o c e s s space e q u a t i o n colon space space space p space V cubed equals k space equals space c o n s tan t h e n c e space p space equals space k space V to the power of negative 3 end exponent w o r k d o n e space b y space t h e space g a s space w h e n space v o u l m e space e x p a n d s comma space W space equals space minus integral subscript V subscript i end subscript superscript V subscript f end superscript space p space d v space equals space minus integral subscript V subscript i end subscript superscript V subscript f end superscript k V to the power of negative 3 end exponent d v space equals 1 half k open parentheses fraction numerator 1 over denominator V subscript f superscript 2 end fraction minus fraction numerator 1 over denominator V subscript i superscript 2 end fraction close parentheses equals 1 half open parentheses p V subscript f space minus space p V subscript i close parentheses space equals 1 half n R open parentheses T subscript f minus T subscript i close parentheses space equals 1 half n R capital delta T end style
begin mathsize 12px style capital delta E subscript i n t space end subscript equals capital delta Q plus capital delta W space f o r space m o n o a t o m i c space g a s space capital delta E subscript i n t space end subscript equals space 3 over 2 n R capital delta T capital delta Q space equals space n C subscript p capital delta T space a n d space capital delta W space equals space 1 half n R T space 3 over 2 n R capital delta T space equals space n C subscript p capital delta T space plus space space 1 half n R T  w e space g e t space C subscript p space end subscript equals space R end style

Answered by Expert 8th March 2018, 6:46 PM
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