371363
Assertion : A carnot engine working between \(100\;K\) and \(400\;K\) has an efficiency of \(75\,\% \) Reason : Efficiency of carnot cycle is \(\eta=1-\dfrac{T_{2}}{T_{1}}\)
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
371364
A Carnot engine working between \(300\;K\) and \(400\;K\) has \(800\;J\) of useful work. The amount of heat energy supplied to the engine from the source
371365
An ideal Carnot engine whose efficiency is \(40\,\% \) receives heat at \(500\;K\). If the efficiency is to be \(50\,\% \), then the intake temperature for the same exhaust temperature is
371366
An ideal gas heat engine operates in Carnot cycle between \(227^\circ C\) and \(127^\circ C.\) It absorbs \(6 \times {10^4}\;J\) at high temperature. The amount of heat converted into work is
1 \(1.6 \times {10^4}\;J\)
2 \(1.2 \times {10^4}\;J\)
3 \(4.8 \times {10^4}\;J\)
4 \(3.5 \times {10^4}\;J\)
Explanation:
In Carnot cycle of an ideal gas, \(\dfrac{W}{Q_{1}}=\dfrac{Q_{1}-Q_{2}}{Q_{1}}\) or\(\dfrac{W}{Q_{1}}=1-\dfrac{Q_{2}}{Q_{1}}\) or\(\dfrac{W}{Q_{1}}=1-\dfrac{T_{2}}{T_{1}} \quad\left(\because \dfrac{Q_{1}}{Q_{2}}=\dfrac{T_{1}}{T_{2}}\right)\) or \(\quad W=Q_{1}\left(1-\dfrac{T_{2}}{T_{1}}\right)\) \(\therefore \quad W=6 \times 10^{4}\left[1-\dfrac{(127+273)}{(227+273)}\right]\) or \(W = 6 \times {10^4}\left( {1 - \frac{{400}}{{500}}} \right)\) \( = 6 \times {10^4} \times \frac{{100}}{{500}}\) \(W = 1.2 \times {10^4}\;J\)
371363
Assertion : A carnot engine working between \(100\;K\) and \(400\;K\) has an efficiency of \(75\,\% \) Reason : Efficiency of carnot cycle is \(\eta=1-\dfrac{T_{2}}{T_{1}}\)
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
371364
A Carnot engine working between \(300\;K\) and \(400\;K\) has \(800\;J\) of useful work. The amount of heat energy supplied to the engine from the source
371365
An ideal Carnot engine whose efficiency is \(40\,\% \) receives heat at \(500\;K\). If the efficiency is to be \(50\,\% \), then the intake temperature for the same exhaust temperature is
371366
An ideal gas heat engine operates in Carnot cycle between \(227^\circ C\) and \(127^\circ C.\) It absorbs \(6 \times {10^4}\;J\) at high temperature. The amount of heat converted into work is
1 \(1.6 \times {10^4}\;J\)
2 \(1.2 \times {10^4}\;J\)
3 \(4.8 \times {10^4}\;J\)
4 \(3.5 \times {10^4}\;J\)
Explanation:
In Carnot cycle of an ideal gas, \(\dfrac{W}{Q_{1}}=\dfrac{Q_{1}-Q_{2}}{Q_{1}}\) or\(\dfrac{W}{Q_{1}}=1-\dfrac{Q_{2}}{Q_{1}}\) or\(\dfrac{W}{Q_{1}}=1-\dfrac{T_{2}}{T_{1}} \quad\left(\because \dfrac{Q_{1}}{Q_{2}}=\dfrac{T_{1}}{T_{2}}\right)\) or \(\quad W=Q_{1}\left(1-\dfrac{T_{2}}{T_{1}}\right)\) \(\therefore \quad W=6 \times 10^{4}\left[1-\dfrac{(127+273)}{(227+273)}\right]\) or \(W = 6 \times {10^4}\left( {1 - \frac{{400}}{{500}}} \right)\) \( = 6 \times {10^4} \times \frac{{100}}{{500}}\) \(W = 1.2 \times {10^4}\;J\)
371363
Assertion : A carnot engine working between \(100\;K\) and \(400\;K\) has an efficiency of \(75\,\% \) Reason : Efficiency of carnot cycle is \(\eta=1-\dfrac{T_{2}}{T_{1}}\)
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
371364
A Carnot engine working between \(300\;K\) and \(400\;K\) has \(800\;J\) of useful work. The amount of heat energy supplied to the engine from the source
371365
An ideal Carnot engine whose efficiency is \(40\,\% \) receives heat at \(500\;K\). If the efficiency is to be \(50\,\% \), then the intake temperature for the same exhaust temperature is
371366
An ideal gas heat engine operates in Carnot cycle between \(227^\circ C\) and \(127^\circ C.\) It absorbs \(6 \times {10^4}\;J\) at high temperature. The amount of heat converted into work is
1 \(1.6 \times {10^4}\;J\)
2 \(1.2 \times {10^4}\;J\)
3 \(4.8 \times {10^4}\;J\)
4 \(3.5 \times {10^4}\;J\)
Explanation:
In Carnot cycle of an ideal gas, \(\dfrac{W}{Q_{1}}=\dfrac{Q_{1}-Q_{2}}{Q_{1}}\) or\(\dfrac{W}{Q_{1}}=1-\dfrac{Q_{2}}{Q_{1}}\) or\(\dfrac{W}{Q_{1}}=1-\dfrac{T_{2}}{T_{1}} \quad\left(\because \dfrac{Q_{1}}{Q_{2}}=\dfrac{T_{1}}{T_{2}}\right)\) or \(\quad W=Q_{1}\left(1-\dfrac{T_{2}}{T_{1}}\right)\) \(\therefore \quad W=6 \times 10^{4}\left[1-\dfrac{(127+273)}{(227+273)}\right]\) or \(W = 6 \times {10^4}\left( {1 - \frac{{400}}{{500}}} \right)\) \( = 6 \times {10^4} \times \frac{{100}}{{500}}\) \(W = 1.2 \times {10^4}\;J\)
371363
Assertion : A carnot engine working between \(100\;K\) and \(400\;K\) has an efficiency of \(75\,\% \) Reason : Efficiency of carnot cycle is \(\eta=1-\dfrac{T_{2}}{T_{1}}\)
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
371364
A Carnot engine working between \(300\;K\) and \(400\;K\) has \(800\;J\) of useful work. The amount of heat energy supplied to the engine from the source
371365
An ideal Carnot engine whose efficiency is \(40\,\% \) receives heat at \(500\;K\). If the efficiency is to be \(50\,\% \), then the intake temperature for the same exhaust temperature is
371366
An ideal gas heat engine operates in Carnot cycle between \(227^\circ C\) and \(127^\circ C.\) It absorbs \(6 \times {10^4}\;J\) at high temperature. The amount of heat converted into work is
1 \(1.6 \times {10^4}\;J\)
2 \(1.2 \times {10^4}\;J\)
3 \(4.8 \times {10^4}\;J\)
4 \(3.5 \times {10^4}\;J\)
Explanation:
In Carnot cycle of an ideal gas, \(\dfrac{W}{Q_{1}}=\dfrac{Q_{1}-Q_{2}}{Q_{1}}\) or\(\dfrac{W}{Q_{1}}=1-\dfrac{Q_{2}}{Q_{1}}\) or\(\dfrac{W}{Q_{1}}=1-\dfrac{T_{2}}{T_{1}} \quad\left(\because \dfrac{Q_{1}}{Q_{2}}=\dfrac{T_{1}}{T_{2}}\right)\) or \(\quad W=Q_{1}\left(1-\dfrac{T_{2}}{T_{1}}\right)\) \(\therefore \quad W=6 \times 10^{4}\left[1-\dfrac{(127+273)}{(227+273)}\right]\) or \(W = 6 \times {10^4}\left( {1 - \frac{{400}}{{500}}} \right)\) \( = 6 \times {10^4} \times \frac{{100}}{{500}}\) \(W = 1.2 \times {10^4}\;J\)
