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Compute the value of x : x = 9.4g of p...

Compute the value of x :
x = 9.4g of phenol `(C_(6)H_(5)OH) +6.02xx10^(23)` molecules of phenol - 0.2 mole of phenol
Here x is:

A

0.9 mol

B

9.2 g

C

0.1 mol

D

`6.02xx10^(23)` molecules

Text Solution

AI Generated Solution

The correct Answer is:
To compute the value of \( x \) in the equation: \[ x = 9.4 \, \text{g of phenol} + 6.02 \times 10^{23} \, \text{molecules of phenol} - 0.2 \, \text{mole of phenol} \] we will convert all quantities to moles and then perform the calculations. ### Step 1: Convert grams of phenol to moles First, we need to find the molecular mass of phenol, \( C_6H_5OH \). - Carbon (C): 12 g/mol × 6 = 72 g/mol - Hydrogen (H): 1 g/mol × 6 = 6 g/mol - Oxygen (O): 16 g/mol × 1 = 16 g/mol Adding these together gives: \[ \text{Molecular mass of phenol} = 72 + 6 + 16 = 94 \, \text{g/mol} \] Now, we can convert the mass of phenol to moles using the formula: \[ \text{Moles} = \frac{\text{Given mass}}{\text{Molecular mass}} \] For 9.4 g of phenol: \[ \text{Moles of phenol} = \frac{9.4 \, \text{g}}{94 \, \text{g/mol}} = 0.1 \, \text{moles} \] ### Step 2: Convert molecules of phenol to moles Next, we convert the number of molecules to moles. We use Avogadro's number, which is \( 6.02 \times 10^{23} \) molecules/mol. \[ \text{Moles of phenol} = \frac{6.02 \times 10^{23} \, \text{molecules}}{6.02 \times 10^{23} \, \text{molecules/mol}} = 1 \, \text{mole} \] ### Step 3: Combine the moles Now, we can substitute the values we calculated into the equation for \( x \): \[ x = 0.1 \, \text{moles} + 1 \, \text{mole} - 0.2 \, \text{mole} \] ### Step 4: Perform the calculation Calculating this gives: \[ x = 0.1 + 1 - 0.2 = 0.9 \, \text{moles} \] ### Final Answer Thus, the value of \( x \) is: \[ \boxed{0.9 \, \text{moles}} \]

To compute the value of \( x \) in the equation: \[ x = 9.4 \, \text{g of phenol} + 6.02 \times 10^{23} \, \text{molecules of phenol} - 0.2 \, \text{mole of phenol} \] we will convert all quantities to moles and then perform the calculations. ...
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DINESH PUBLICATION-SOME BASIC CONCEPTS OF CHEMISTRY-ULTIMATE PREPARATORY PACKAGE
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