A geyser heats water flowing at the rate of 3.0 litres per minute from 27 °C to 77 °C. If the geyser operates on a gas burner, what is the rate of consumption of the fuel if its heat of combustion is 4.0 × 10⁴ J/g ?

Open in App

Solution

Given, the water is flowing at a rate of 3.0 litre/ min , temperature changes from 27 ∘ C to 77 ∘ C and the heat of combustion is 4.0× 10 4 J/g .

Let specific heat of water be c.

Let Q be the total heat used, then

Q=mcΔT

Here, m is the mass of water flowing, ΔT is the temperature change.

Substitute the values in the above expression.

Q=3000×4.2×( 77−27 ) =6.3× 10 5 J/ min

Let R be the rate of consumption of the fuel, then

R= Q heat of combustion

Substitute the value in the above expression,

R= 6.3× 10 5 4× 10 4 =16 g/ min

Hence, the rate of combustion of the fuel is 16 g/ min .

Suggest Corrections

Similar questions

Q. A geyser heats water flowing at the rate of

3.0 l i t r e s

per minute from

27^{o} C

77^{o} C

. If the geyser operates on a gas burner. What is the rate of consumption of the fuel if its heat of combustion is

4.0 \times 10^{4} J / g

Q. A geyser heats water flowing at the rate of 4 litre per minutes from 30 C to 85 C. If the geyser operates on gas burner then the amount of heat used per minute is :

Water is heated from $10^{\circ} C$ to $90^{\circ} C$ in a residential hot water heater at a rate of $70 l i t r e$ per minute. Natural gas with a density of $1.2 k g / m^{3}$ is used in the heater, which has a transfer efficiency of $32 %$ . if the gas consumption rate in cubic meters per hour is 13k. Then what is the value of k? (heat combustion for natural gas is $8400 k c a l / k g$ )

Q. A tap supplies water at 22

^{0}

C . A man takes 1 litre per minute at 37

^{0}

from the geyser . If the mains supply is 210V, then the current flowing in the geyser is :

Q. A

2100 W

continuous flow geyser (instant geyser) has water inlet temperature

= 10^{o} C

while the water flows out at the rate of

20 g / s e c

. The outlet temperature of water must be about

Join BYJU'S Learning Program