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Nikolay [14]
3 years ago
5

5.) The density of a black hole is estimated to be as high as 6 x 1015 kg/m?. Using this density, what would be the

Chemistry
1 answer:
adell [148]3 years ago
4 0
<h3>Answer:</h3>

1.6 × 10^2 teragrams

<h3>Explanation:</h3>
  • Density is the ratio of the mass of object to its volume.
  • It is calculated by;

Density = Mass ÷ Volume

we are given;

Density of a black hole = 6×10^15 kg/m³

Volume of the black hole = 2.5 in or 6.35 cm in volume

But; 1 g/cm³ = 1000 kg/m³

Therefore; 6×10^15 kg/m³ =6×10^12 g/cm³

We are required to get mass;

Volume = 4/3(πR³)

Assuming the radius is 2.5 inches or 6.35 cm

             = 4/3 × 3.14 × 6.35 ³

             = 26.585 cm³

But; Mass = Density × volume

                = 6×10^12 g/cm³ × 26.585 cm³

                = 1.6 × 10^14 g

but; 1 telegram = 1 teragram = 10^12 g

Therefore; 1.6 × 10^14 g ÷10^12 g

                 =  1.6 × 10^2 teragrams

Therefore, the mass of the black hole is 1.6 × 10^2 teragrams

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A: 2.525 x 10-4 mol

B: 2.583 x 10-4 mol

Explanation:

Part A:

Data Given:

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Convert Temperature to Kelvin

T = °C + 273

T = 21.3 + 273 = 294.3 K

volume of (H2O) gaseous state = 5.1 mL

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PV = nRT

Rearrange the equation for no. of moles

n=PV/RT......... (1)

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Part B:

Data Given:

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Convert Temperature to Kelvin

T = "C + 273

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volume of (H2) gas = 5.2 mL

Convert mL to liter

1000 mL = 1 L

5.2 ml = 5.2/1000 = 0.0052 L

Pressure = 1.2 atm

. no. of moles = ?

Solution

no. of moles can be calculated by using ideal gas formula

PV = nRT

Rearrange the equation for no. of moles

n= PV / RT......... (1)

where

P = pressure

V = Volume

T= Temperature

n = Number of moles

R = ideal gas constant

where

R = 0.08206 L.atm/mol. K

Now put the value in formula (1) to calculate no. of moles of

n = 1.2 atm x 0.0052 L/0.08206 L.atm.mol-1. K-1 x 294.3 K

n = 0.0062 atm.L/ 24.162 L.atm.mol-1

n = 2.583 x 10-4 mol

I

no. of moles of gas (H2) = 2.583 x 10-4 mol

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