An ideal gas is subjected to a cyclic process | vedclass

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

Question

(B) For a cyclic process,the change in internal energy over the complete cycle is zero,i.e.,$\sum \Delta U = 0$.From the first law of thermodynamics,$

Vedclass · Accepted Answer

$700; 10.5 \%$

Vedclass · Answer

(B) For a cyclic process,the change in internal energy over the complete cycle is zero,i.e.,$\sum \Delta U = 0$.From the first law of thermodynamics,$\Delta U = Q - W$.Calculating $\Delta U$ for each state:$\Delta U_1 = Q_1 - W_1 = 6000 - 2500 = 3500 	ext{ J}$$\Delta U_2 = Q_2 - W_2 = -5500 - (-1000) = -4500 	ext{ J}$$\Delta U_3 = Q_3 - W_3 = -3000 - (-1200) = -1800 	ext{ J}$$\Delta U_4 = Q_4 - W_4 = 3500 - x$Since $\sum \Delta U = 0$:$3500 - 4500 - 1800 + 3500 - x = 0$$700 - x = 0 \implies x = 700 	ext{ J}$.Net work done $W_{	ext{net}} = W_1 + W_2 + W_3 + W_4 = 2500 - 1000 - 1200 + 700 = 1000 	ext{ J}$.Total heat absorbed $Q_{	ext{in}} = Q_1 + Q_4 = 6000 + 3500 = 9500 	ext{ J}$.Efficiency $\eta = \frac{W_{	ext{net}}}{Q_{	ext{in}}} 	imes 100 = \frac{1000}{9500} 	imes 100 \approx 10.5 \%$.

Similar Questions

Which kingdom is characterized by the presence of a rigid cell wall and nucleoprotein as genetic material?

Let $\bar{a} = 3 \hat{i} + 2 \hat{j} + x \hat{k}$ and $\bar{b} = \hat{i} - \hat{j} + \hat{k}$,for some real $x$. Then $|\bar{a} \times \bar{b}| = r$ is possible,if

Three non-zero non-collinear vectors $\vec{a}, \vec{b}$ and $\vec{c}$ are such that $\vec{a}+3\vec{b}$ is collinear with $\vec{c}$,and $3\vec{b}+2\vec{c}$ is collinear with $\vec{a}$. Then $\vec{a}+3\vec{b}+2\vec{c}$ equals to

$A$ proton, when accelerated through a potential difference of $V$, has a de-Broglie wavelength $\lambda$ associated with it. If an $\alpha$-particle is to have the same de-Broglie wavelength $\lambda$, it must be accelerated through a potential difference of:

Which of the following has the lowest boiling point?

Vedclass Test Series

Exam Paper Generator

Online Exam Module