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4 years ago

(-7b + 8c) - (12a + 14) + (5a + 5b) =

Chemistry

1 answer:

Varvara68 [4.7K]4 years ago

7 0

Given problem;

(-7b + 8c) - (12a + 14) + (5a + 5b) = ?

To this problem, we open the brackets, collect like terms and factor them.

The order of operation, PEMDAS must be strictly adhered to;

P = Parentheses

E = Exponent

M = multiplication

D = Division

A = Addition

S = Subtraction

(-7b + 8c) - (12a + 14) + (5a + 5b);

Open the parentheses;

Note; + x + = +

+ x - = -

- x - = +

- x + = -

So,

= -7b + 8c -12a - 14 + 5a + 5b

Collect like terms;

= 5a -12a + 5b - 7b + 8c -14

= -7a - 2b + 8c -14

The solution is -7a - 2b + 8c -14

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Explanation:

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Using the combined ideal gas equation.

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V= volume of air inside the balloon (6.23 L= 6.23 * 10⁻³ m³)

n= moles of gas(air). (0.250 mol)

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4 years ago

The catalytic decomposition of hydrogen peroxide yields oxygen gas and water, according to the reaction given below. In an exper

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Answer:

The molar concentration of hydrogen peroxide is 0.01164 M

Explanation:

Step 1: Data given

Volume of gas yielded = 75.3 mL = 0.0753 L

Temperature = 25.0 °C

Atmosphere = 0.976 atm

(Water = 0.032 atm at 25°C)

The original volume of H2O2 is 500 mL

Molar mass of O2 =32 g/mol

Step 2: The balanced equation

2H2O2(aq) → 2 H2O(l) + O2(g)

Step 3: Calculate pressure of O2

P = P(02) + P(water)

P(O2) = P - P(water)

P(O2) = 0.976 atm - 0.032 atm

P(O2) = 0.944 atm

Step 4: Calculate moles O2

p*V=n*R*T

⇒ with p = the pressure of O2 gas = 0.944 atm

⇒ with V= the volume of O2 = 0.0753 L

⇒ with n = the number of moles of O2

⇒ with R = the gas constant = 0.08206 L*atm/K*mol

⇒ with T = the temperature = 25°C = 298 Kelvin

n = (p*V)/(R*T)

n = (0.944 * 0.0753)/(0.08206*298K)

n = 0.00291 moles O2

Step 5: Calculate moles of H2O2

For 1 mole of O2 produced, we need 2 moles of H2O2

For 0.00291 moles O2 we need 2*0.00291 = 0.00582 moles H2O2

Step 6: Calculate molar concentration of H2O2

Molar concentration = moles / volume

Molar concentration = 0.00582 moles / 0.500L

Molar concentration = 0.01164 M

The molar concentration of hydrogen peroxide is 0.01164 M

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3 years ago