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3 years ago

What is the result of multiplying 2.5 times 10 to the power 10 by 3.5×10 to the power of -7

Chemistry

1 answer:

AURORKA [14]3 years ago

6 0

Answer:

8.75 × 10³

Explanation:

Multiply the coefficients and the exponential terms separately; then multiply them together

2.5 × 3.5 = 8.75.

When you multiply exponential terms, you add the exponents.

10¹⁰ × 10⁻⁷ = 10⁽¹⁰⁻⁷⁾ = 10³

The product is 8.75 × 10³.

A scientific calculator does the operation automatically. The buttons may have different labels on your calculator, but the key sequence is usually something like

2.5 Exp 10 × 8.5 Exp +/- 7 = 8.75×10⁻³

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If I have 6 moles of a gas at a pressure of 5.8 atm and a volume of 12 liters, what

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The temperature of the system is 141.36K.

<h3><u>Explanation</u>:</h3>

According to the universal gas law, the pressure of a gas is directly proportional to the absolute temperature and number of moles of the gas and inversely proportional to the volume of the gas.

So in equation format,

$\frac{P\times V}{n\times T}$ =constant.

Or $\frac{P\times V}{n\times T}$ = R.

Here R is called the universal gas constant which has different values in different units.

Here the unit of volume is in litres and unit of pressure is in atmosphere.

So. Value of R comes as =0.082057 $\frac{L\times atm} {K\times mole}$ .

So, according to the question,

P is 5.8atm, V is 12 litres and n is 6 moles.

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Or, T = $\frac{5.8\times12} {6\times0.082057}$ .

Or, T = 141.36.

So,the temperature of the system is 141.36K

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