JEE Class main Answered
In figure, a resistance coil, wired to an external battery is placed inside a thermally insulated cylinder find with a frictionless piston and containing an ideal diatomic gas A current = 200 ma exists in the coil which has a resistance R=350Ω If the pressure of the gas remains constant what should be the speed v (in cm/s of the piston of mass m=10kg)?
Asked by samarthghogare | 06 May, 2023, 11:17: AM
Expert Answer
Let us assume the dissipated heat in the resistance coil is absorbed by the enclosed gas in the cylinder.
Rate of heat dissipation is
...................... (1)
where i is current through coil and Rc is resistance of coil .
For diatomic gas that is hetaed at constant pressure , heat dissipation is
.............................. (2)
where n is number of moles , Cp =(7/2) R is constant volume specific heat, R is universal gas constant and
(dT/dt) is rate of change of increase of temperature.
From eqn.(1) and eqn.(2), we get
......................... (3)
For ideal gas , we have
when pressure is kept constant , rate of change of volume is
Above expression can be written as
............................. (4)
where A is area of cross section of cylinder and dh/dt is rate of vertical displacement of piston with respect to time , i.e, (dh/dt) is speed of piston .
From eqn.(3) and (4) , we get speed of piston as
Speed of piston = 4 cm/s
Answered by Thiyagarajan K | 07 May, 2023, 09:54: PM
JEE main - Physics
Asked by hridayjayaram085 | 12 Jan, 2024, 05:50: PM
ANSWERED BY EXPERT
JEE main - Physics
Asked by ashainy91829 | 06 Nov, 2023, 01:08: PM
ANSWERED BY EXPERT
JEE main - Physics
Asked by ghrushi3 | 02 Nov, 2023, 10:05: PM
ANSWERED BY EXPERT
JEE main - Physics
Asked by samarthghogare | 06 May, 2023, 11:17: AM
ANSWERED BY EXPERT
JEE main - Physics
Asked by aadityakumar0603 | 06 Mar, 2023, 10:03: PM
ANSWERED BY EXPERT
JEE main - Physics
Asked by manvirsingh2242 | 21 Jun, 2022, 04:35: PM
ANSWERED BY EXPERT
JEE main - Physics
Asked by manvirsingh2242 | 20 Jun, 2022, 12:32: PM
ANSWERED BY EXPERT
JEE main - Physics
Asked by manvirsingh2242 | 18 Jun, 2022, 06:27: PM
ANSWERED BY EXPERT
JEE main - Physics
Asked by manvirsingh2242 | 11 Jun, 2022, 09:16: AM
ANSWERED BY EXPERT