Answer:
Explanation:
At , the heat of vaporization of water is given by:
The water here condenses and gives off heat given by the product between its mass and the heat of vaporization:
The block of aluminum absorbs heat given by the product of its specific heat capacity, mass and the change in temperature:
According to the law of energy conservation, the heat lost is equal to the heat gained:
or:
Rearrange for the final temperature:
We obtain:
Then:
Answer:
Explanation:
<u>Convert Atoms to Moles</u>
The first step is to convert atoms to moles. 1 mole of every substance has the same number of particles: 6.022 ×10²³ or Avogadro's Number. The type of particle can be different, in this case it is atoms of silver. Let's create a ratio using this information.
We are trying to find the mass of 8.23 ×10²³ silver atoms, so we multiply by that number.
Flip the ratio so the atoms of silver cancel. The ratio is equivalent, but places the other value with units "atoms Ag" in the denominator.
Condense into one fraction.
<u>Convert Moles to Grams</u>
The next step is to convert the moles to grams. This uses the molar mass, which is equivalent to the atomic mass on the Periodic Table, but the units are grams per mole.
Let's make another ratio using this information.
Multiply by the number of moles we calculated.
The moles of silver cancel out.
<u>Round</u>
The original measurement of atoms has 3 significant figures, so our answer must have the same. For the number we calculated, that is the ones place.
The 4 in the tenths place tells us to leave the 7 in the ones place.
8.23 ×10²³ silver atoms are equal to approximately <u>147 grams.</u>