QJEEM22Phfaad: JEE Main 2022 Physics - Class 11 JEEM22Phfaad Solution: A geyser heats water flowing at a rate of 2.0 kg per minute…

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QJEEM22Phfaad: JEE Main 2022 Physics - Class 11 JEEM22Phfaad Solution: A geyser heats water flowing at a rate of 2.0 kg per minute…

A geyser heats water flowing at a rate of 2.0 kg per minute from 30 $^{\circ}$ C to 70 $^{\circ}$ C. If geyser operates on a gas burner, the rate of combustion of fuel will be ___________ g min^{$-$ 1}.

[Heat of combustion = 8 $\times$ 10³ Jg^{$-$ 1}, Specific heat of water = 4.2 Jg^{$-$ 1} $^{\circ}$ C^{$-$ 1}]

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Accepted Answer

$Q = m s Δ T$

$\frac{d Q}{d t} = {(\frac{d m}{d t})}_{w a t e r} S Δ T = {(\frac{d m}{d t})}_{o i l} C$

$\Rightarrow 2 \times 4.2 \times 10^{3} \times 40 = {(\frac{d m}{d t})}_{o i l} \times 8 \times 10^{6}$

$\Rightarrow {(\frac{d m}{d t})}_{o i l} = \frac{8 \times 4.2 \times 10^{4}}{8 \times 10^{6}}$ kg/minute

= 42 g/min

QJEEM22Phfaad: JEE Main 2022 Physics - Class 11 JEEM22Phfaad Solution: A geyser heats water flowing at a rate of 2.0 kg per minute…

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