Answer to Question #105089 in Mechanics | Relativity for Emmanuel
2020-03-09T18:57:48-04:00
A constant volume gas thermometer records pressure of body as 250mm of Hg at 0°c and 350mm Hg at 100°c. Calculate the temperature when the gas pressure reads 300mm Hg
1
2020-03-10T11:36:42-0400
T = a P + b T=aP+b T = a P + b
0 = 250 a + b 0=250a+b 0 = 250 a + b
100 = 350 a + b 100=350a+b 100 = 350 a + b So,
100 = 100 a → a = 1 100=100a\to a=1 100 = 100 a → a = 1
0 = 250 + b → b = − 250 0=250+b\to b=-250 0 = 250 + b → b = − 250 Then,
T = P − 250 T=P-250 T = P − 250
T ( 300 ) = 300 − 250 = 50 ° C T(300)=300-250=50\degree C T ( 300 ) = 300 − 250 = 50° C
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