A gas based geyser heats water flowing at the rate of 5.0 litres per minute from 27^ C to 87^ C . The rate of consumption of the gas is _ _ _ _ g / s . (Take heat of combustion of gas =5.0 10⁴ ~J / g ) specific heat capacity of water =4200 ~J / kg ^ C

Step-by-step solution

Flow rate = 5.0 L/min = 5.0 kg/min, T = 87 - 27 = 60 °C Heat required per minute: Q = mc T = 5.0 4200 60 = 1.26 10^6 J/min If m grams of gas consumed per minute: m 5.0 10^4 = 1.26 10^6 m = 1.26 10^6 5.0 10^4 = 25.2 g/min Rate = 25.2 60 = 0.42 g/s