A carnot engine working between 400, K and 800 ,K has a work output of 1200, J per cycle. amou

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11.Thermodynamics

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A carnot engine working between $400\, K$ and $800 \,K$ has a work output of $1200\, J$ per cycle. What is the amount of heat energy supplied to the engine from source per cycle .... $J$ ?

$1200$

$1350$

$2400$

$2500$

Solution

$\mathrm{W}=1200 \mathrm{J}, \mathrm{T}_{1}=800 \mathrm{K}, \quad \mathrm{T}_{2}=400 \mathrm{K}$

$\therefore \quad \eta=1-\frac{\mathrm{T}_{2}}{\mathrm{T}_{1}}=\frac{\mathrm{W}}{\mathrm{Q}_{1}} \Rightarrow 1-\frac{400}{800}=\frac{1200}{\mathrm{Q}_{1}}$

$\Rightarrow \quad 0.5=\frac{1200}{\mathrm{Q}_{1}}$

Heat energy supplied by source

$\mathrm{Q}_{1}=\frac{1200}{0.5}=2400$ joule per cycle

Standard 11

Physics

An ideal gas expands isothermally from a volume $V_1$ to $V_2$ and then compressed to original volume $V_1$ adiabatically. Initial pressure is $P_1$ and final pressure is $P_3$. The total work done is $W$. Then

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$P-V$ diagram of an ideal gas is as shown. Find work done by the gas in $ABCD$ process

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agdgsshsfh $\frac{1}{2}$

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In a Carnot engine, the temperature of reservoir is $927\ ^oC$ and that of sink is $27\ ^oC.$ If the work done by the engine is $12.6 \times 10^6 J,$ the quantitiy of heat absorbed by the engine from the reservoir is

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The coefficient of apparent expansion of mercury in a glass vessel is $153 \times 10^{-6}/\,^oC$ and in a steel vessel is $144 \times 10^{-6}/\,^oC$. If $\alpha $ for steel is $12 \times 10^{-6}/\,^oC$, then $\alpha $ that of glass is

normal

A carnot engine working between $400\, K$ and $800 \,K$ has a work output of $1200\, J$ per cycle. What is the amount of heat energy supplied to the engine from source per cycle .... $J$ ?

Solution

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