Increasing order of number of moles of the species
i) 3 grams of NO
ii) 8.5 grams of `PH_(3)` and
iii) 8 grams of methane

Options

A. I,ii,iii
B. iii,ii,i
C. I,iii,ii
D. ii,iii,i

Explanation

To determine the increasing order of the number of moles of the given species, we will follow these steps:

### Step 1: Calculate the number of moles of NO
1. **Find the molar mass of NO**:
- Nitrogen (N) has a molar mass of approximately 14 g/mol.
- Oxygen (O) has a molar mass of approximately 16 g/mol.
- Molar mass of NO = 14 + 16 = 30 g/mol.

2. **Calculate the number of moles of NO**:
- Given mass of NO = 3 g.
- Number of moles = Given mass / Molar mass = 3 g / 30 g/mol = 0.1 moles.

### Step 2: Calculate the number of moles of PH3
1. **Find the molar mass of PH3**:
- Phosphorus (P) has a molar mass of approximately 31 g/mol.
- Hydrogen (H) has a molar mass of approximately 1 g/mol.
- Molar mass of PH3 = 31 + (3 × 1) = 31 + 3 = 34 g/mol.

2. **Calculate the number of moles of PH3**:
- Given mass of PH3 = 8.5 g.
- Number of moles = Given mass / Molar mass = 8.5 g / 34 g/mol = 0.25 moles.

### Step 3: Calculate the number of moles of Methane (CH4)
1. **Find the molar mass of CH4**:
- Carbon (C) has a molar mass of approximately 12 g/mol.
- Hydrogen (H) has a molar mass of approximately 1 g/mol.
- Molar mass of CH4 = 12 + (4 × 1) = 12 + 4 = 16 g/mol.

2. **Calculate the number of moles of CH4**:
- Given mass of CH4 = 8 g.
- Number of moles = Given mass / Molar mass = 8 g / 16 g/mol = 0.5 moles.

### Step 4: Compare the number of moles
- Moles of NO = 0.1 moles
- Moles of PH3 = 0.25 moles
- Moles of CH4 = 0.5 moles

### Step 5: Arrange in increasing order
- The increasing order of the number of moles is:
1. NO (0.1 moles)
2. PH3 (0.25 moles)
3. CH4 (0.5 moles)

### Final Answer:
The increasing order of the number of moles of the species is:
**NO < PH3 < CH4**

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