Question:
A geyser heats water flowing at a rate of 2.0 kg per minute from 30°C to 70°C. If geyser operates on a gas burner, the rate of combustion of fuel will be __________ g min–1.
[Heat of combustion = 8 × 103 Jg–1, Specific heat of water = 4.2 Jg–1 °C–1]
A geyser heats water flowing at a rate of 2.0 kg per minute from 30°C to 70°C. If geyser operates on a gas burner, the rate of combustion of fuel will be __________ g min–1.
[Heat of combustion = 8 × 103 Jg–1, Specific heat of water = 4.2 Jg–1 °C–1]
[Heat of combustion = 8 × 103 Jg–1, Specific heat of water = 4.2 Jg–1 °C–1]
Updated On: Jul 8, 2024
Hide Solution
Verified By Collegedunia
Correct Answer: 42
Solution and Explanation
The correct answer is 42
\(Q = msΔT\)
\(\frac{dQ}{dt} = (\frac{dm }{dt})_{water}\)
\( SΔT = (\frac{dm}{dt})_{oil}C\)
\(⇒ 2 × 4.2 × 10³ × 40\)
\(= (\frac{dm}{dt})_{oil} × 8 × 10^6\)
\(⇒ (\frac{dm}{dt})_{oil} = \frac{8 × 4.2 × 10^4}{8 × 10^6} kg/minute\)
= 42 g/minute
Was this answer helpful?
0
0
Top Questions on carnot cycle
- A Carnot engine operates between temperatures of $ 600 \, \text{K} $ and $ 300 \, \text{K} $. If it absorbs $ 900 \, \text{J} $ of heat from the source, how much work does it perform?
- BITSAT - 2025
- Physics
- carnot cycle
- A Carnot engine operates between a hot reservoir at 500 K and a cold reservoir at 300 K. Calculate the efficiency of the engine.
- AP PGECET - 2024
- Nano Technology
- carnot cycle
- Identify the equation typically used to describe the efficiency of a cyclic process.
- AP PGECET - 2024
- Nano Technology
- carnot cycle
- The P-V diagram of a Carnot's engine is shown in the graph below. The engine uses 1 mole of an ideal gas as working substance. From the graph, the area enclosed by the P-V diagram is
[ The heat supplied to the gas is 8000 J ]
- KCET - 2023
- Physics
- carnot cycle
- In a Carnot’s engine, as the gas gives heat energy to the sink, then the temperature of the sink
- AP EAPCET - 2023
- Physics
- carnot cycle
View More Questions
Questions Asked in JEE Main exam
- If \(a = 1 + \sum_{r=1}^{6} (-3)^{r-1} \binom{12}{2r-1}\), then the distance of the point \((12, \sqrt{3})\) from the line \(\alpha x - \sqrt{3}y + 1 = 0\) is:
- JEE Main - 2025
- Coordinate Geometry
- Let \( \alpha, \beta, \gamma \) and \( \delta \) be the coefficients of \( x^7, x^5, x^3, x \) respectively in the expansion of \( (x + \sqrt{x^3 - 1})^5 + (x - \sqrt{x^3 - 1})^5, \, x > 1 \). If \( \alpha u + \beta v = 18 \), \( \gamma u + \delta v = 20 \), then \( u + v \) equals:
- JEE Main - 2025
- binomial expansion formula
- Let \[ \int x^3 \sin x \, dx = g(x) + C, \quad \text{where \( C \) is the constant of integration.} \] If \[ g\left( \frac{\pi}{2} \right) + g\left( \frac{\pi}{2} \right) = \alpha \pi^3 + \beta \pi^2 + \gamma, \quad \alpha, \beta, \gamma \in {Z}, \] then \[ \alpha + \beta - \gamma \text{ equals:} \]
- JEE Main - 2025
- Integration by Parts
- The center of mass of a thin rectangular plate (fig - x) with sides of length \( a \) and \( b \), whose mass per unit area (\( \sigma \)) varies as \( \sigma = \sigma_0 \frac{x}{ab} \) (where \( \sigma_0 \) is a constant), would be
- JEE Main - 2025
- System of Particles & Rotational Motion
Electrolysis of 600 mL aqueous solution of NaCl for 5 min changes the pH of the solution to 12. The current in Amperes used for the given electrolysis is ….. (Nearest integer).
- JEE Main - 2025
- Electrolysis
View More Questions
Concepts Used:
Carnot Cycle
Carnot's Theorem:
From the second law of thermodynamics, two important results are derived where the conclusions are taken together to constitute Carnot’s theorem. It may be stated in the following forms.
- ‘No engine can be more efficient than a perfectly reversible engine working between the same two temperatures’.
- ‘The efficiency of all reversible engines, working between the same two temperatures is the same, whatever the working substances’.
Carnot’s Ideal Heat Engine
- A cylinder having perfectly non-conducting walls, a perfectly conducting base and is provided with a perfectly non-conducting piston which moves without friction in the cylinder. The cylinder contains one mole of perfect gas as the working substance.
- Source: A reservoir maintained at a constant temperature T1 from which the engine can draw heat by perfect conduction. It has an infinite thermal capacity and any amount of heat can be drawn from it at constant temperature T1.
- Heat insulating stand. A perfectly mom-conducting platform acts as a stand for adiabatic processes.
- Sink: A reservoir maintained at a constant lower temperature T2 (T2 < T1) to which the heat engine can reject any amount of heat. The thermal capacity of sink is infinite so that its temperature remains constant at T2, no matter how much heat is given to it.