CBSE Class 11-science Answered
ques

Asked by shubham23302007 | 23 Jan, 2024, 22:24: PM
If we consider a linear relation between temperature T and pressure P ,
then let us assume temperature T is given in terms of pressure P as
T = ( a × P ) + b ...............................(1)
where a and b are constants .
at 0° C pressure P = 75 cm of mercury. Hence we get
75 a + b = 0 ................................ (2)
at 100° C pressure P = 100 cm of mercury. Hence we get
100 a + b = 100 ........................(3)
From eqn.(2) and (3) , we get a = 4 , b = -300
Hence eqn.(1) becomes
T = 4 P - 300 ..............................(4)
If we substitute P = 80 cm of mercury , then from eqn.(4) , we get
T = (4 × 80) - 300 = 20° C
Answered by Thiyagarajan K | 23 Jan, 2024, 23:40: PM
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