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

Question

A geyser heats water flowing at the rate of 3.0 litre per minute from 27° C to 77° C. If the geyser operates on a gas burner and its heat of combustion is 4.0 × 104 J / g, then what is the rate of combustion of fuel (approx.)? (A) 24 g/min (B) 12 g/min (C) 32 g/min (D) 16 g/min

Tardigrade Admin · Accepted Answer

Mass of water heated, M=3 × 1000 × 1=3000 g / min Rise in temperature, Δ T=77-27=50° C Amount of heat spent, Q=m c Δ T or Q =3000 × 1 × 50 cal =3000 × 50 × 4.2 J / min =6.3 × 105 J / min Rate of combustion of fuel =(6.3 × 105 J / min /4.0 × 104 J / g ) =15.75 g / min ≈ 16 g / min

Q. A geyser heats water flowing at the rate of 3.0 litre per minute from 27∘C to 77∘C. If the geyser operates on a gas burner and its heat of combustion is 4.0×104J/g, then what is the rate of combustion of fuel (approx.)?

24 g/min

12 g/min

32 g/min

16 g/min

Mass of water heated, M=3×1000×1=3000g/min Rise in temperature, ΔT=77−27=50∘C Amount of heat spent, Q=mcΔT or Q=3000×1×50cal =3000×50×4.2J/min =6.3×105J/min Rate of combustion of fuel =4.0×104J/g6.3×105J/min​ =15.75g/min≈16g/min

Q. A geyser heats water flowing at the rate of $3.0$ litre per minute from $2 7^{\circ} C$ to $7 7^{\circ} C$ . If the geyser operates on a gas burner and its heat of combustion is $4.0 \times 1 0^{4} J / g$ , then what is the rate of combustion of fuel (approx.)?