A table top is made of aluminium and has a hole of diameter 2 cm. An iron sphere of diameter 2.004 m is resting on this hole. Below the hole, an insulated container has 2 kg of water in it. Everything is at ambient temperature of 25^(@)C. The table top along with the iron sphere is heated till the ball falls through the hole into the water. Find the equilibrium temperature of the ball and water system Neglect any heat loss from ball–water system to the surrounding and assume the heat capacity of the container to be negligible. Relevant data: Coefficient of linear expansion for aluminium and iron are 2.4 xx 10^(-5) .^(@)C^(-1)and 1.2 xx 10^(-5) .^(@)C^(-1) respectively. Specific heat capacity of water and iron are 4200 J .^(@)C^(-1) g^(-1) and 450 J .^(@)C^(-1) g^(-1) respectively. Density of iron at 25^(@)C is 8000 kg//m^(3).

A table top is made of aluminium and has a hole of diameter 2 cm. An i

1.	A table top is made of aluminium and has a hole of diameter 2 cm. An iron sphere of diameter 2.004 m is resting on this hole. Below the hole, an insulated container has 2 kg of water in it. Everything is at ambient temperature of 25^(@)C. The table top along with the iron sphere is heated till the ball falls through the hole into the water. Find the equilibrium temperature of the ball and water system Neglect any heat loss from ball–water system to the surrounding and assume the heat capacity of the container to be negligible. Relevant data: Coefficient of linear expansion for aluminium and iron are 2.4 xx 10^(-5) .^(@)C^(-1)and 1.2 xx 10^(-5) .^(@)C^(-1) respectively. Specific heat capacity of water and iron are 4200 J .^(@)C^(-1) g^(-1) and 450 J .^(@)C^(-1) g^(-1) respectively. Density of iron at 25^(@)C is 8000 kg//m^(3).
Answer» ANSWER :`27.4^(@)C`