Question

Which 10.0 g cube of metal at 65 ∘ C, when added to 30.0 g water at 25 ∘ C, will result in the least temperature rise for water?

Which 10.0 cube of metal at 65 , when added to 30.0 water at 25 , will result in the least temperature rise for water?
a. Gold
b. Silver
c. Copper
d. Aluminum

Answer 1

Gold 10.0 g cube of metal at 65 ∘ C, when added to 30.0 g water at 25 ∘ C, will result in the least temperature rise for water
because it has lowest specific heat and less heat will be provided to water so less will be its temperature rises
so correct option is A
hope it helps

Answer 2

Answer : The correct option is, (a) Gold

Solution :

`Q_(absorbed)=Q_(released)`

As we know that,

`Q=m* c* \Delta T=m* c* (T_(final)-T_(initial))`

`m_1* c_1* (T_(final)-T_1)=-[m_2* c_2* (T_(final)-T_2)]` .................(1)

where,

`m_1` = mass of metal = 10 g

`m_2` = mass of added water = 30 g

`T_(final)` = final temperature = ?

`T_1` = temperature of metal =
`65^oC`

`T_2` = temperature of added water =
`258^oC`

`c_2` = specific heat of water =
`4.184J/g^oC`

`c_1` = specific heat of metal

Now we have to calculate the final temperature for all the given metals.

(a) For gold : given,

`c_1` = specific heat of metal =
`0.129J/g^oC`

`10g* 0.129J/g^oC* (T_(final)-65^oC)=-[30g* 4.184J/g^oC* (T_(final)-25^oC)]`

`T_(final)=25.4^oC`

Change in temperature of water =
`(25.4-25)^oC=0.4^oC`

(b) For silver : given,

`c_1` = specific heat of metal =
`0.24J/g^oC`

`10g* 0.24J/g^oC* (T_(final)-65^oC)=-[30g* 4.184J/g^oC* (T_(final)-25^oC)]`

`T_(final)=25.7^oC`

Change in temperature of water =
`(25.7-25)^oC=0.7^oC`

(c) For copper : given,

`c_1` = specific heat of metal =
`0.385J/g^oC`

`10g* 0.385J/g^oC* (T_(final)-65^oC)=-[30g* 4.184J/g^oC* (T_(final)-25^oC)]`

`T_(final)=26.19^oC`

Change in temperature of water =
`(26.19-25)^oC=1.19^oC`

(d) For aluminium : given,

`c_1` = specific heat of metal =
`0.902J/g^oC`

`10g* 0.902J/g^oC* (T_(final)-65^oC)=-[30g* 4.184J/g^oC* (T_(final)-25^oC)]`

`T_(final)=27.6^oC`

Change in temperature of water =
`(27.6-25)^oC=2.6^oC`

Therefore, the least temperature rise for water result in, Gold.