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Given 1,000,000 J of energy, what is the maximum amount of gold you can melt? The latent heat of fusion for gold is 6.44 x 10⁴ J.
O 15.5 kg
O 150 kg
O 1 kg
O 1,000 kg

Sagot :

regalmocha17

The maximum amount of gold you can melt with 1 million joules of energy is approximately 15.5 kg.

To solve this problem, we can use the formula for phase change or more specifically the amount of energy required to change a solid to a liquid.

It is given as:

Q = mLf  

Where:

Q = energy

m = mass

Lf = latent heat of fusion

In this case our values are:

Q = 1m J
m = ?
Lf = 6.44 × 10⁴ J/kg

Since we're solving for m, we can rearrange the formula to obtain it:

Q = mLF
Q/Lf = m

Now, we can substitute in our values and solve for the mass.
1000000 J / 6.44 × 10⁴ J/kg = m
m = 15.527


Round to nearest tenth.
m = 15.5

Therefore, the maximum amount of gold you can melt with 1 million Joules of energy is 15.5 kilograms.

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