A gas expands from a volume of 1 text{ dm}^3 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Step $1$: Calculate the work done by the system using $w = -P_{ext} \Delta V$.Step $2$: Convert units: $1 	ext{ bar} = 10^5 	ext{ Pa}$ and $1

Vedclass · Accepted Answer

$125$

Vedclass · Answer

(A) Step $1$: Calculate the work done by the system using $w = -P_{ext} \Delta V$.Step $2$: Convert units: $1 	ext{ bar} = 10^5 	ext{ Pa}$ and $1 	ext{ dm}^3 = 10^{-3} 	ext{ m}^3$.Step $3$: $\Delta V = 1.25 	ext{ dm}^3 - 1 	ext{ dm}^3 = 0.25 	ext{ dm}^3 = 0.25 	imes 10^{-3} 	ext{ m}^3$.Step $4$: $w = -(10^5 	ext{ Pa}) 	imes (0.25 	imes 10^{-3} 	ext{ m}^3) = -25 	ext{ J}$.Step $5$: Apply the first law of thermodynamics: $\Delta U = q + w$.Step $6$: Given $q = +150 	ext{ J}$ (heat supplied to the system).Step $7$: $\Delta U = 150 	ext{ J} - 25 	ext{ J} = 125 	ext{ J}$.

$A$ gas expands from a volume of $1 \text{ dm}^3$ to $1.25 \text{ dm}^3$ against a constant external pressure of $1 \text{ bar}$. Calculate the change in internal energy $(\Delta U)$ if $150 \text{ J}$ of heat is supplied to the system. (in $\text{ J}$)

Similar Questions

Which of the following is the correct expression of the first law of thermodynamics for an isothermal process?

If $65 \ kJ$ of work is done on the system and it releases $25 \ kJ$ of heat,what is the change in internal energy of the system (in $kJ$)?

One mole of an ideal gas is allowed to expand reversibly and adiabatically from a temperature of $27\,^{\circ}C$. If the work done during the process is $3\, kJ$,then the final temperature of the gas is $...\, K$.

$A$ gas present in a cylinder expands against a constant pressure of $1 \, atm$ from a volume of $2 \, L$ to a volume of $6 \, L$. In doing so,it absorbs $800 \, J$ of heat from the surroundings. The change in internal energy of the process is ..... $J$.

Which of the following statements is appropriate as per the first law of thermodynamics?

Vedclass Test Series

Exam Paper Generator

Online Exam Module