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bearhunter [10]
3 years ago
14

If 832J of energy is required to raise the temperature of a sample of aluminum from 20.0° C to 97.0° C, what mass is the sample

of aluminum? (The specific heat of aluminum is 0.90 J/(g × ° C).)
Chemistry
1 answer:
LiRa [457]3 years ago
5 0
Data:
Q (Amount of heat) = 832 J
m (mass) = ?
c (Specific heat) = <span>0.90 J/(g × ° C)
T (final) = 97 ºC
To (initial) = 20 ºC
</span>ΔT = T - To → ΔT = 97 - 20 → ΔT = 77 ºC

Formula:
Q = m*c*ΔT

Solving:
Q = m*c*ΔT
832 = m*0.90*77
832 = 69.3m
69.3m = 832
m =  \frac{832}{69.3}
\boxed{\boxed{m \approx 12.00\:g}}\end{array}}\qquad\quad\checkmark
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Answer:

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Explanation:

Given that,

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Put the value into the formula

n=\dfrac{0.850\times6.00}{0.0821\times295}

n=0.211\ moles

We need to calculate the moles in O

Using formula of moles

n=\dfrac{PV}{RT}

Put the value into the formula

n=\dfrac{2.50\times1.50}{0.0821\times295}

n=0.155\ moles

The balance equation for the reaction is

2NO+O_{2}\Rightarrow 2NO_{2}

So, The gases are present at the end of the experiment  are O₂ and NO₂

We need to calculate the remaining moles of O₂

Using formula for remaining moles

Moles of  O₂ remaining = 0.155-\dfrac{0.211}{2}

Moles\ of \ O_{2}\ remaining =0.049\ moles

Moles of NO₂ = 0.211 moles

Total volume V=V_{l}+V_{s}

Put the value into the formula

V=6.00+1.50

V=7.5\ V

(2). If the gas was consumed completely

We need to calculate the pressure of O₂

Using formula of pressure

P=\dfrac{moles\times R\times T}{V}

Put the value into the formula

P=\dfrac{0.049\times0.0821\times295}{7.5}

P=0.158\ atm

We need to calculate the pressure of NO₂

Using formula of pressure

P=\dfrac{moles\times R\times T}{V}

Put the value into the formula

P=\dfrac{0.211\times0.0821\times295}{7.5}

P=0.681\ atm

If the gas was consumed completely

Then, Pressure of NO is zero.

Hence, (I). The gases are present at the end of the experiment  are O₂ and NO₂

(II).  The pressure of O₂ is 0.158 atm.

The pressure of NO₂ is 0.681 atm

The Pressure of NO is zero.

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