A geyser heats water flowing at the rate of $3.0 l i t r e s$ per minute from $27^{o} C$ to $77^{o} C$ . If the geyser operates on a gas burner. What is the rate of consumption of the fuel if its heat of combustion is $4.0 \times 10^{4} J / g$ ?

Open in App

Solution

Water is flowing at a rate of 3.0 litre/min.
The geyser heats the water, raising the temperature from $27^{o} C$ to $77^{o} C$ .
Initial temperature, $T_{1} = 27^{o} C$
Final temperature, $T_{2} = 77^{o} C$
Rise in temperature, $T = T_{1} - T_{2} = 77 - 27 = 50^{o} C$
Heat of combustion $= 4 \times 10^{4} J / g$
Specific heat of water, $C = 4.2 J / g^{o} C$
Mass of flowing water, $m =$ 3.0 litre/min = 3000 g/min
Total heat used, $Q = m c T$
$= 3000 \times 4.2 \times 50$
$= 6.3 \times 10^{5} J / m i n$
Rate of consumption $= 6.3 \times 10^{5} / (4 \times 10^{4}$ ) = 15.75 g/min.

Suggest Corrections

Similar questions

Q. 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 ?

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 step supplies water at 22

^{o} C

. A man take 1 liter per minute at 37

^{o} C

from the geyser. the power of geyser is

Join BYJU'S Learning Program

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

A geyser heats water flowing at the rate of $3.0 l i t r e s$ per minute from $27^{o} C$ to $77^{o} C$ . If the geyser operates on a gas burner. What is the rate of consumption of the fuel if its heat of combustion is $4.0 \times 10^{4} J / g$ ?