When 39 g of a metal at 94° C is added to 40 g of water at 30°C, the temperature of the water rises to 36°C. What is the specific heat capacity of the metal? Assume no heat was lost to the surroundings.

587.5 L (Option A)

Explanation:

The reaction is:

2 C₈H₁₈ + 25O₂  → 16CO₂  + 18H₂O

We know that in STP conditions 1 mol of any gas is contained in 22.4L

Then, we can make a rule of three, to determine the moles of produced carbon dioxide.

22.4L is the volume for 1 mol

376 L will be the volume for  (376 . 1) 22.4 = 16.78 moles at STP conditions.

Stoichiometry is 16:25.

16 moles of CO₂ are produce by the reaction of 25 moles of O₂

Then, 16.78 moles of CO₂ were produced by (16.78 . 25) /16 = 26.2 moles.

Now, the rule of three again.

1 mol of oxygen gas is contained at 22.4L, at STP conditions

26.2 moles might be contained at (26.2 . 22.4)/1 = 587.5 L