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 ]

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)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

m =2000 gm / min Heat required by water / min = mS Δ T =(2000) × 4.2 × 40 J / min =336000 J / min The rate of combustion =(( dm / dt ) L )=336000 J / min ( dm / dt )=(336000/8 × 103) g / min =42 gm / min

Q. A geyser heats water flowing at a rate of 2.0kg per minute from 30∘C to 70∘C. If geyser operates on a gas burner, the rate of combustion of fuel will be _______gmin−1 [Heat of combustion =8×103Jg−1 Specific heat of water =4.2Jg−1∘C−1 ]

m=2000gm/min Heat required by water /min=mSΔT =(2000)×4.2×40J/min =336000J/min The rate of combustion =(dtdm​L)=336000J/min dtdm​=8×103336000​g/min =42gm/min

$m = 2000 g m / min$
Heat required by water $/ min = m S Δ T$
$= (2000) \times 4.2 \times 40 J / min$
$= 336000 J / min$
The rate of combustion $= (\frac{d m}{d t} L) = 336000 J / min$
$\frac{d m}{d t} = \frac{336000}{8 \times 1 0 ^{3}} g / min$
$= 42 g m / min$