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1 year ago

An extra-strength aspirin contains 0.500 g of aspirin. how many grains is this? (1grain=64.8mg)

Chemistry

1 answer:

Snowcat [4.5K]1 year ago

8 0

By unit conversion, the aspirin contains 7.72 grains.

We need to know about unit conversion to solve this problem. The unit conversion can be used to convert a unit to another unit. It can be defined as

a = xb

where a is unit a, b is unit b and x is the constant of conversion.

From the question above, we know that

m = 0.5 gram

unit conversion

(1 grain = 64.8 mg)

Convert the unit conversion to 1 mg

1 grain = 64.8 mg

1/64.8 grain = 64.8/64.8 mg

1 mg = 1/64.8 grain

Convert the aspirin mass to grain

m = 0.500 g

m = 0.5 x 10³ mg

m = 0.5 x 10³ x 1/64.8 grain

m = 7.72 grain

Find more on unit conversion at: brainly.com/question/4158962

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<h3>Stoichiometry </h3>

From the question, we are to determine the mass of water that would be produced.

From the given balanced chemical equation

2C₂H₆ +7O₂ → 4CO₂ +6H₂O

This means

2 moles of C₂H₆ reacts with 7 moles of O₂ to produce 4 moles of CO₂ and 6 moles of H₂O

Now, we will determine the number of moles of each reactant present

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Using the formula,

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Number of moles of C₂H₆ present = 0.08314 mole

For Oxygen (O₂)

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Number of moles of O₂ present = $\frac{170}{31.999}$

Number of moles of O₂ present = 5.3127 moles

Since

2 moles of C₂H₆ reacts with 7 moles of O₂

Then,

0.08314 mole of C₂H₆ will react with $\frac{7 \times 0.08314 }{2}$

$\frac{7 \times 0.08314 }{2}$ = 0.58198 mole

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0.08314 mole of C₂H₆ reacts with 0.58198 mole of O₂ to produce 3 × 0.08314 moles of H₂O

3 × 0.08314 = 0.24942 mole

Thus, the number of moles of water (H₂O) produced is 0.24942 mole

Now, for the mass of water that would be produced,

Using the formula,

Mass = Number of moles × Molar mass

Molar mass of water = 18.015 g/mol

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Mass of water that would be produced = 0.24942 × 18.015

Mass of water that would be produced = 4.4933 g

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