A heat engine operates between a cold reservoir at temperature T2 = 400K and a hot reservoir at temperature T1. It takes 300J of heat from the hot reservoir and delivers 240J of heat to the cold reservoir in a cycle. The minimum temperature of the hot reservoir has to be________K.

Kindly go through the solution T 1 4 0 0 = 3 0 0 2 4 0 ⇒ T 1 = 5 0 0 K

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Thermodynamic Process Physics Thermodynamics Physics Class 11th

A heat engine operates between a cold reservoir at temperature T₂ = 400K and a hot reservoir at temperature T₁. It takes 300J of heat from the hot reservoir and delivers 240J of heat to the cold reservoir in a cycle. The minimum temperature of the hot reservoir has to be________K.

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alok kumar singh | Contributor-Level 10

2 months ago

Kindly go through the solution

$\frac{T_{1}}{400} = \frac{300}{240} \Rightarrow T_{1} = 500 K$

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A calorimeter of water equivalent $20 g$ contains $180 g$ of water at $25^{?} C$ , ' $m$ ' grams of steam at $100^{?} C$ is mixed in it till the temperature of the mixture is $31^{?} C$ . The value of

alok kumar singh

Heat lost by steam $=$ Heat gained by water and calorimeter.

$\begin{array}{r} m \times 540 + m \times 1 \times (100 - 31) = 200 \\ 540 m + 69 m = 1200 \\ m = \frac{1200}{609} \approx 2 \end{array}$

Match List I with List II.

List I List II

(a) Isothermal (i) Pressure constant

(b) Isochoric (ii) Temperature constant

(c) Adiabatic (iii) Volume constant

(d) Isobaric (iv) Heat content is constant

Choose the correct answer from the options given below:

alok kumar singh

In isothermal process, temperature is constant.

In isochoric process, volume is constant.

In adiabatic process, there is no exchange of heat.

In isobaric process, pressure is constant

The entropy of any system is given by S = $α^{2} β l n [\frac{μ k R}{J β^{2}} + 3]$ Where a and b are the constants. $μ$ , J, k and R no. of moles, mechanical equivalent of heat, Bolzmann constant and gas constant respectively. $[T a k e S = \frac{d Q}{T}]$

Choose the incorrect option from the following:

alok kumar singh

N_a -> Avogadro’s Number

$J β^{2} \equiv [μ k R] \Rightarrow β^{2} \equiv [k R] \Rightarrow β \equiv [k] \equiv [M L^{2} T^{- 2} K^{- 1}]$

, and

-> $S \equiv α^{2} β \Rightarrow [M L^{2} T^{- 2} K^{- 1}] \equiv α^{2} [M L^{2} T^{- 2} K^{- 1}] \Rightarrow α \equiv [M^{0} L^{2} T^{0} K^{0}]$ Dimensionless

In the reported figure, hear energy absorbed by a system in going through a cyclic process is_______ pJ.

alok kumar singh

Heat absorbed in cyclic process = Work done = 100? Joule

The amount of heat needed to raise the temperature of 4 moles of a rigid diatomic gas from 0°C to 50°C when no work is done is___________. (R is the universal gas constant)

alok kumar singh

Since process is isochoric, so

$Q = n C_{v} Δ T = n (\frac{f}{2} R) Δ T = 4 (\frac{5}{2} \times R) (50) = 500 R$

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A heat engine operates between a cold reservoir at temperature T₂ = 400K and a hot reservoir at temperature T₁. It takes 300J of heat from the hot reservoir and delivers 240J of heat to the cold reservoir in a cycle. The minimum temperature of the hot reservoir has to be________K.

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