What is the heat change if 295 g of solid gold increases in temperature by 20 K to 1 d.p?(The molar heat capacity of solid gold is 25.42 J mol-1 K-1)
Question
What is the heat change if 295 g of solid gold increases in temperature by 20 K to 1 d.p?(The molar heat capacity of solid gold is 25.42 J mol-1 K-1)
Solution
Sure, here's how you can calculate the heat change:
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First, we need to find the number of moles of gold. The molar mass of gold is approximately 197.0 g/mol. So, the number of moles (n) can be calculated as:
n = mass / molar mass n = 295 g / 197.0 g/mol = 1.50 mol
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Next, we use the formula for heat change (q), which is:
q = n * C * ΔT
where: n = number of moles C = molar heat capacity ΔT = change in temperature
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Substituting the values into the formula:
q = 1.50 mol * 25.42 J mol-1 K-1 * 20 K = 760.2 J
So, the heat change when 295 g of solid gold increases in temperature by 20 K is approximately 760.2 J to 1 decimal place.
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