500 ~g of water and 100 ~g of ice at 0^ C are in a calorimeter whose water equivalent is 40 ~g .10 ~g of steam at 100^ C is added to it. Then water in the calorimeter is : (Latent heat of ice =80 cal / g , Latent heat

Correct answer: B. 590 ~g As 1 ~g of steam at 100^ C melts 8 ~g of ice at 0^ C . 10 ~g of steam will melt 8 × 10 ~g of ice at 0^ C Water in calorimeter =500+80+10 ~g=590 ~g

JEE Main 201323 AprilOnline

Exam: JEE Main
Year: 2013
Date: 23 April
Mode: Online
Subject: Physics
Chapter: Thermal Properties of Matter

JEE Main 2013 · 23 April · Online · Physics · Thermal Properties of Matter

500 ~g of water and 100 ~g of ice at 0^ C are in a calorimeter...

500 \mathrm{~g}

of water and

100 \mathrm{~g}

of ice at

0^{\circ} \mathrm{C}

are in a calorimeter whose water equivalent is

40 \mathrm{~g} .10 \mathrm{~g}

of steam at

100^{\circ} \mathrm{C}

is added to it. Then water in the calorimeter is : (Latent heat of ice

=80 \mathrm{cal} / \mathrm{g}

, Latent heat of steam

=540 \mathrm{cal} / \mathrm{g}

)

Options

A $580 \mathrm{~g}$
B $590 \mathrm{~g}$
C $600 \mathrm{~g}$
D $610 \mathrm{~g}$

Correct answer

B. $590 \mathrm{~g}$

Step-by-step solution

1 \mathrm{~g}

of steam at

100^{\circ} \mathrm{C}

melts

8 \mathrm{~g}

of ice at

0^{\circ} \mathrm{C}

10 \mathrm{~g}

of steam will melt

8 \times 10 \mathrm{~g}

of ice at

0^{\circ} \mathrm{C}

Water in calorimeter

=500+80+10 \mathrm{~g}=590 \mathrm{~g}

Practice Thermal Properties of Matter on Quantrex Academy →

More from Thermal Properties of Matter

As shown in the figure, an insulated container is fitted with a thermally conducting but… JEE Advanced 2026 The heat extracted out of x gram of water initially at 50°C to cool it down to 0°C is… JEE Main 2026 The temperature of a metal strip having coefficient of linear expansion α is increased… JEE Main 2026 Which of the following best represents the temperature versus heat supplied graph for… JEE Main 2026 10 kg of ice at -10^ ∘ C is added to 100 kg of water to lower its temperature from 25 ^ ∘… JEE Main 2026 A brass wire of length 2 m and radius 1 mm at 27^ ∘ C is held taut between two rigid… JEE Main 2026 Rods x and y of equal dimensions but of different materials are joined as shown in… JEE Main 2026 An aluminium and steel rods having same lengths and cross-sections are joined to make… JEE Main 2026 Full Thermal Properties of Matter list All JEE Main PYQs