The heat required to rise the temperature of 54 g of aluminium from 40° C to 60° C in J is (molar heat capacity of aluminium in this temperature range is 24 J mol -1 K -1; atomic weight of Al is 27 )

Question

The heat required to rise the temperature of 54 g of aluminium from 40° C to 60° C in J is (molar heat capacity of aluminium in this temperature range is 24 J mol -1 K -1; atomic weight of Al is 27 ) (A) 480 (B) 800 (C) 960 (D) 1280

Tardigrade Admin · Accepted Answer

Given, Weight of aluminium (w)=54 g Temperature difference (Δ T)=60°-40°=20° C Molar heat capacity of aluminium (Cs)=24 J mol -1 K -1 Atomic mass of ( Al ), i.e. (M)=27 ∴ Moles of ( Al ), i.e. n=(w/M) =(54/27)=2 mol Heat required (Q)=n Cs Δ T =2 × 24 × 20=960 J

Q. The heat required to rise the temperature of 54g of aluminium from 40∘C to 60∘C in J is (molar heat capacity of aluminium in this temperature range is 24Jmol−1K−1; atomic weight of Al is 27 )

480

800

960

1280

Given, Weight of aluminium (w)=54g Temperature difference (ΔT)=60∘−40∘=20∘C Molar heat capacity of aluminium (Cs​)=24Jmol−1K−1 Atomic mass of (Al), i.e. (M)=27 ∴ Moles of (Al), i.e. n=Mw​ =2754​=2mol Heat required (Q)=nCs​ΔT =2×24×20=960J

Q. The heat required to rise the temperature of $54 g$ of aluminium from $4 0^{\circ} C$ to $6 0^{\circ} C$ in $J$ is (molar heat capacity of aluminium in this temperature range is $24 J m o l^{- 1} K^{- 1}$ ; atomic weight of $A l$ is $27$ )