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Answer 1

Question :

A geyser of 2kW is used to heat 20kg of water. Calculate the time taken in raising the temperature of water by 30°C. Specific heat of water is 4,200 J/kg °C

Given :

Power of geyser = 2kW = 2000W

Mass of water = 20kg

To Find :

Time taken by geyser to raise temperature of water by 30°C.

Solution :

❒ Specific heat capacity of substance is defined as the heat required to increase temperature of 1kg substance by 1°C.

Mathematically, H = m × c × ∆T

• H denotes heat energy
• m denotes mass
• c denotes specific heat
• ∆T denotes change in temperature

First of all we need to find heat required to raise temperature of water$.$

By substituting the given values i. above formula, we get;

➠ H = m × c × ∆T

➠ H = 20 × 4200 × 30

➠ H = 252 × 10⁴ J

★ We know that, power is measured as the energy consumed per unit time.

➛ P = H / t

➛ 2000 = 252 × 10⁴ / t

➛ t = 2520/2

➛ t = 1260 s

• 60 s = 1 min

∴ 1260 s = 1260/60 = 21 min

Final answer :- 21 min