Home
Class 12
PHYSICS
A monoatomic ideal gas of two moles is t...

A monoatomic ideal gas of two moles is taken through a cyclic process starting from `A` as shown in figure. The volume ratios are `(V_(B))/(V_(A))=2` and `(V_(D))/(V_(A))=4`. If the temperature `T_(A)` at `A` is `27^(@)C`, calculate:

(a) The temperature of the gas at point `B`.
(b) Heat absorbed or released by the gas in each process.
(c) The total work done by the gas during complete cycle.

Text Solution

Verified by Experts

The correct Answer is:
4988
Given
Number of moles, n = 2
`C_V = 3/2 R " and " C_P = 5/2 R " (monoatomic)"`
`T_A = 27^@ C = 300 K`
Let `V_A =V_0` then `V_B = 2V_0` and `V_D = V_C = 4V_0`
Process `A to B`
`:." "Q_("AB") = nC_p Dt nC_p (T_B -T_A)`
`=(2)(5/2 R) (600 - 300)`
`Q_("AB") = 1500 " (absorbed)"`
Process `B to C`
` T = "constant ":."dU = 0"`
`:." "Q_("AB") = W_("BC") = nRT_B "In" (V_C/V_B)`
`=(2)(R) (600)"In"((4V_0)/(2V_0))`
`= (1200 R)In (2) = (1200R)(0.693)`
or `Q_("BC") ~~ 831.6 R ` (absorbed)
Process `C to DV=` constant
`:." "Q_(CD) = nC_V dT = nC_v (T_D - T_C)`
`= n(3/2 R)(T_A -T_B)(T_D =T_A"and"T_C =T_C)`
`=(2)(3/2 R)(300 - 600)`
`Q_("CD") = -900 R` (released)
Process `D to A` T = constant ` rArr Delta U = 0" ":." "Q_("DA")= W_("DA") = nRT_0 "In" (V_A/V_D)`
`Q_("DA") ~~-931.6R` (released)
Promotional Banner

Similar Questions

Explore conceptually related problems

A monoatomic ideal gas of two moles is taken through a cyclic process starting from A as shown in figure. The volume ratios are (V_B)/(V_A)=2 and (V_D)/(V_A)=4 . If the temperature T_A at A is 27^@C . Calculate, (a) the temperature of the gas at point B, (b) heat absorbed or released by the gas in each process, (c) the total work done by the gas during the complete cycle. Express your answer in terms of the gas constant R.

A monatomic idea gas of 2 mol is taken through a cyclic process starting from A as shown in figure. The volume ratio are V_(B)//V_(A)=2 and V_(D)//V_(A)=4 . If the temperature T_(A) at A is 27^(@)C , and gas constant is R . Calculate. The temperature of the gas at point B

A mono-atomic ideal gas of two moles is taken through a cyclic process starting from A as shwon in the figure below. The volume ratios are V_(B)//V_(A) = 2 and V_(D)//V_(A) = 4 . If the temperature T_(A) at A is 27^(@)C . Calculate a. The temperature of gas at B . b. Heat absorbed or evolved in each process. c. Total wrok done in cyclic process.

A monatomic idea gas of 2 mol is taken through a cyclic process starting from A as shown in figure. The volume ratio are V_(B)//V_(A)=2 and V_(D)//V_(A)=4 . If the temperature T_(A) at A is 27^(@)C , and gas constant is R . Calculate. Heat absorbed or released by the gas in process B rarr C

A monatomic idea gas of 2 mol is taken through a cyclic process starting from A as shown in figure. The volume ratio are V_(B)//V_(A)=2 and V_(D)//V_(A)=4 . If the temperature T_(A) at A is 27^(@)C , and gas constant is R . Calculate. Heat absorbed or released by the gas in process A rarr B

A monatomic idea gas of 2 mol is taken through a cyclic process starting from A as shown in figure. The volume ratio are V_(B)//V_(A)=2 and V_(D)//V_(A)=4 . If the temperature T_(A) at A is 27^(@)C , and gas constant is R . Calculate. Heat absorbed or released by the gas in process C rarr D .

A monatomic idea gas of 2 mol is taken through a cyclic process starting from A as shown in figure. The volume ratio are V_(B)//V_(A)=2 and V_(D)//V_(A)=4 . If the temperature T_(A) at A is 27^(@)C , and gas constant is R . Calculate. Heat absorbed or released by the gas in procedd D rarr A .

A monatomic idea gas of 2 mol is taken through a cyclic process starting from A as shown in figure. The volume ratio are V_(B)//V_(A)=2 and V_(D)//V_(A)=4 . If the temperature T_(A) at A is 27^(@)C , and gas constant is R . Calculate. The total work done by the gas during the complete cycle.

A monoatomic ideal gas of two moles is taken through a cyclic process starting from A as shown (V_(B))/(V_(A))=2 and (V_(D))/(V_(A))=4 Temperature T_(A) at A is 27^(@)C . Q. Temperature at C is