Question

Calculate the number of moles in each of the following:

a. $85.2$gof $Ni$

b. localid="1653463313267" $144$gof $K$

c. localid="1653463322209" $6.4$gof$H_{2}O$

d. localid="1653463332032" $308$gof$BaS{O}_4$

e.localid="1653463342745" $252.8$gof fructose, $C_6{H}_{12}{O}_6$

Short answer

The number of moles in each of the following:

a. $1.45$moles

b .$3.68$moles

c. $0.35$moles

d.$1.32$moles

e.$1.40$moles

Step-by-step solution

Part (a) Step 1: Given information

We need to find number of moles in $85.2$gof$Ni$ .

Part (a) Step 2: Explanation

Here, we need to calculate number of moles , we will use the formula for number of moles

We are given with the gram molecular weight , and we know the molar mass for this element , so we get ;

Number of moles=gram molecular weight/molar mass

Therefore,$\frac{85.2\cancel{g}}{58.69\cancel{g}/moles}=1.45$moles

Part (b) Step 1: Given information

We need to find number of moles of$144$gof$K$ .

Part (b) Step 2: Explanation

Here, we need to calculate number of moles , we will use the formula for number of moles

We are given with the gram molecular weight , and we know the molar mass for this element , so we get ;

Number of moles=gram molecular weight/molar mass

Therefore, $\frac{144\cancel{g}}{39.09\cancel{g}/moles}=3.68$moles

Part (c) Step 1: Given information

We need to find number of moles of $6.4$gof$H_{2}O$.

Part (c) Step 2: Explanation

Here, we need to calculate number of moles , we will use the formula for number of moles

We are given with the gram molecular weight , and we know the molar mass for this element , so we get ;

Number of moles=gram molecular weight/molar mass

Therefore,$\frac{6.4\cancel{g}}{18\cancel{g}/moles}=0.35$moles

Part (d) Step 1: Given information

We need to find number of moles of$308$gof$BaS{O}_4$ .

Part (d) Step 2: Explanation

Here, we need to calculate number of moles , we will use the formula for number of moles

We are given with the gram molecular weight , and we know the molar mass for this element , so we get ;

Number of moles=gram molecular weight/molar mass

Therefore,$\frac{308\cancel{g}}{233\cancel{g}/moles}=1.32$moles

Part (e) Step 1: Given information

We need to find number of moles of$252.8$gof fructose .

Part (e) Step 2: Explanation

Here, we need to calculate number of moles , we will use the formula for number of moles

We are given with the gram molecular weight , and we know the molar mass for this element , so we get ;

Number of moles=gram molecular weight/molar mass

Therefore,$\frac{252.8\cancel{g}}{180.1\cancel{g}/moles}=1.40$moles