a chunk of pure silver has a heat capacity of 42.8J/degrees celsius and a mass of 181g. calculate the specific heat of silver. can you show me how to solve it? please don't just give an answer
heat capacity has units of J/degree C.
specific heat has units of J/g*C
So specific heat x grams = heat capacity.
Plug in g and heat capacity and solve for specific heat. I get something like 0.2 J/g*c
thank you very much for helping!
Sure, I'd be happy to show you how to solve the problem.
To calculate the specific heat of silver, we use the formula:
Specific heat = Heat capacity / Mass
Given data:
Heat capacity (C) of pure silver = 42.8 J/°C
Mass (m) of silver = 181 g
Step 1: Convert the mass from grams to kilograms.
Since specific heat is typically measured in J/(g·°C), we need to convert 181 g to kilograms by dividing it by 1000:
Mass (m) of silver = 181 g / 1000 = 0.181 kg
Step 2: Substitute the values into the formula and solve for specific heat:
Specific heat = 42.8 J/°C / 0.181 kg
Now, divide 42.8 J/°C by 0.181 kg to find the specific heat of silver:
Specific heat = 42.8 J/°C / 0.181 kg
Specific heat = 236.46 J/(kg·°C)
So, the specific heat of silver is 236.46 J/(kg·°C).
Remember to check your units for consistency throughout the calculation and ensure you apply correct conversion factors when necessary.