Verified Solution • 2025–26 Session moderate

QJEEM20Phb21c: JEE Main 2020 Physics - Class 11 JEEM20Phb21c Solution: A calorimeter of water equivalent 20 g contains 180 g of water…

A calorimeter of water equivalent 20 g contains 180 g of water at 25oC. ‘m’ grams of steam at 100oC is mixed in it till the temperature of the mixure is 31oC. The value of ‘m’ is close to :
(Latent heat of water = 540 cal g–1, specific heat of water = 1 cal g–1 oC–1)

Multiple Choice Options

  • A 2.6
  • B 2
  • C 4
  • D 3.2

Step-by-Step Verified Solution

Given Temp of mixture = 31°C

180×1×(31-25) + 20×(31-25) = m×540 + m×1×(100-31)

⇒\Rightarrow 180×6 + 20×6 = 540m + 100 m - 31m

⇒\Rightarrow 1080 + 120 = 640 m - 31m

⇒\Rightarrow 1200 = 609m

⇒\Rightarrow m = 1200609{{1200} \over {609}} = 1.97

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