A metal ball of mass 0.1 kg is heated upto 500°C and dropped into a vessel of heat capacity 800 JK−1 and containing 0.5 kg water. The initial temperature of water and vessel is 30°C. What is the approximate percentage increment in the temperature of the water? [Specific Heat Capacities of water and metal are, respectively, 4200 Jkg−1K−1 and 400 Jkg−1K−1]
a.
30%
b.
20%
c.
25%
d.
15%
a.
30%
b.
20%
c.
25%
d.
15%
Question ID - 50600 | SaraNextGen Top Answer A metal ball of mass 0.1 kg is heated upto 500°C and dropped into a vessel of heat capacity 800 JK−1 and containing 0.5 kg water. The initial temperature of water and vessel is 30°C. What is the approximate percentage increment in the temperature of the water? [Specific Heat Capacities of water and metal are, respectively, 4200 Jkg−1K−1 and 400 Jkg−1K−1]
a.
30%
b.
20%
c.
25%
d.
15%
A metal ball of mass 0.1 kg is heated upto 500°C and dropped into a vessel of heat capacity 800 JK−1 and containing 0.5 kg water. The initial temperature of water and vessel is 30°C. What is the approximate percentage increment in the temperature of the water? [Specific Heat Capacities of water and metal are, respectively, 4200 Jkg−1K−1 and 400 Jkg−1K−1]
|
a. |
30% |
b. |
20% |
|
c. |
25% |
d. |
15% |
0.1 × 400 × (500 − T) = 0.5 × 4200 × (T − 30) + 800 (T − 30)
⇒ 40(500 − T) = (T − 30) (2100 + 800)
⇒20000 − 40T = 2900 T − 30 × 2900
⇒20000 + 30 × 2900 = T(2940)
T = 30.4°C
× 100 = 
× 100
= 20%