Feb 24, 2006 #1 B bantamm Junior Member level 3 Joined Nov 23, 2005 Messages 29 Helped 0 Reputation 0 Reaction score 0 Trophy points 1,281 Activity points 1,481 a gas expands adaibatically behind a piston according to the law p=2000V^-14 find the mean effective pressure p(mean value) for the expansion from a volume V from 0.5m3 to 2m3 then determine the work done (W) note: W=pmean x deltaV help!!!!!!!!!!!
a gas expands adaibatically behind a piston according to the law p=2000V^-14 find the mean effective pressure p(mean value) for the expansion from a volume V from 0.5m3 to 2m3 then determine the work done (W) note: W=pmean x deltaV help!!!!!!!!!!!
Feb 24, 2006 #2 Q Quibbler Junior Member level 1 Joined Dec 6, 2005 Messages 19 Helped 0 Reputation 0 Reaction score 0 Trophy points 1,281 Location Trinidad and Tobago Activity points 1,439 Phew that's a pretty non-ideal gas. I think you need to integrate from V(initial) to V(final) w=∫P dV=∫2000V^-14 dV
Phew that's a pretty non-ideal gas. I think you need to integrate from V(initial) to V(final) w=∫P dV=∫2000V^-14 dV
Feb 24, 2006 #3 S steve10 Full Member level 3 Joined Mar 26, 2002 Messages 175 Helped 32 Reputation 64 Reaction score 0 Trophy points 1,296 Location Los Angeles (Chinese) Activity points 2,538 Honestly, I am not so confident about this. Here is what I got. Set V1=0.5 V2=2 Then deltaV=V2-V1=1.5 Now, p(mean value)=Integrate[V*p, {V,V1,V2}]=Integrate[2000V^-13, {V,V1,V2}] =(2000/12)*(V1^-12 - V2^-12) =(500/3)*(0.5^-12 - 2^-12) Then, W=p(mean value)*deltaV=(500/3)*(0.5^-12 - 2^-12)*1.5.
Honestly, I am not so confident about this. Here is what I got. Set V1=0.5 V2=2 Then deltaV=V2-V1=1.5 Now, p(mean value)=Integrate[V*p, {V,V1,V2}]=Integrate[2000V^-13, {V,V1,V2}] =(2000/12)*(V1^-12 - V2^-12) =(500/3)*(0.5^-12 - 2^-12) Then, W=p(mean value)*deltaV=(500/3)*(0.5^-12 - 2^-12)*1.5.
Feb 28, 2006 #4 C cae20452 Newbie level 6 Joined Dec 17, 2005 Messages 13 Helped 1 Reputation 2 Reaction score 1 Trophy points 1,283 Activity points 1,581 yes so easily u can solve the question in the above i was going to write you that but saw already given good luck pal
yes so easily u can solve the question in the above i was going to write you that but saw already given good luck pal