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Question

A mixture of $CO_2$ and $N_2$ gases contains 0.44 g of $CO_2$ and 0.56 g of $N_2$.  The total number of moles of gases in the mixture is:

THIRUPATHI REDDY · Accepted Answer

## CORE INFORMATION
✓ **Answer**: C
## CONCEPT FRAMEWORK
 **Primary Concept**: Mole calculations
 **Related Topics**: Gas mixtures, molar mass
 **Prerequisites**: Understanding of moles, molar mass, and how to calculate moles from mass.
## SOLUTION PATHWAY
**Given Information**:
  Mass of $CO_2$ = 0.44 g
  Mass of $N_2$ = 0.56 g
  Molar mass of $CO_2$ = 44 g/mol
  Molar mass of $N_2$ = 28 g/mol
**Method & Steps**:
 1. Calculate the number of moles of $CO_2$:
  Reasoning: Use the formula:  $moles = \frac{mass}{molar\ mass}$ 
  Formula/Rule: $n = \frac{m}{M}$ 
  Working: $n_{CO_2} = \frac{0.44\ g}{44\ g/mol} = 0.01\ mol$
 2. Calculate the number of moles of $N_2$:
  Reasoning: Use the same formula as above.
  Working: $n_{N_2} = \frac{0.56\ g}{28\ g/mol} = 0.02\ mol$
 3. Calculate the total number of moles:
  Reasoning: Add the moles of $CO_2$ and $N_2$ together.
  Working: Total moles = $n_{CO_2} + n_{N_2} = 0.01\ mol + 0.02\ mol = 0.03\ mol$
  Result: 0.03 moles
  Verification: The individual mole calculations are straightforward and adding them gives the total number of moles.
 ## OPTION ANALYSIS
A :x: 0.01 moles is only the number of moles of $CO_2$.
B :x: 0.02 moles is only the number of moles of $N_2$.
C ✓: 0.03 moles is the correct total number of moles.
D :x: 0.04 moles is incorrect; it's not the sum of the moles of each gas.
 ## LEARNING AIDS
 **Common Mistakes**:
  1.Forgetting to convert grams to moles: Remember to always use the molar mass to convert the given mass into moles.
  2.Adding masses instead of moles:  Moles are additive, not masses.  You must calculate the moles of each gas before adding them.
 **Quick Tips**:
  1.Write down the given information and the formulas clearly before starting the calculation.
  2.Double-check your units and calculations to avoid errors.

THIRUPATHI REDDY · Answer

0.01 moles

THIRUPATHI REDDY · Answer

0.02 moles

THIRUPATHI REDDY · Answer

The correct Option is "0.03 moles"

THIRUPATHI REDDY · Answer

0.04 moles

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