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maw [93]
3 years ago
6

A helium-filled balloon has a volume of 50.0 L at 25°C and 1.08 atm. What volume will it have at .855 atm and 10.0°C? Question 1

7 options: 15.0 L 30.0 L 60.0 L 120.0 L
Mathematics
1 answer:
balu736 [363]3 years ago
3 0

Answer:

60.0 L

Step-by-step explanation:

Ideal gas law:

PV = nRT

where P is absolute pressure,

V is volume,

n is number of moles,

R is gas constant,

and T is absolute temperature.

Since n and R don't change:

P₁V₁ / T₁ = P₂V₂ / T₂

(1.08 atm) (50.0 L) / (25 + 273.15 K) = (0.855 atm) V / (10 + 273.15 K)

V = 60.0 L

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Step-by-step explanation

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5 0
4 years ago
What are the zeros of f(x) = x2 - 12x + 36?
topjm [15]

Answer:

c. x = 6 only

Step-by-step explanation:

In order to calculate the zeros of f(x), we need to set it equal to zero and find the corresponding values of x.

x^{2}-12x+36=0

Using the midterm breaking, we can split -12x into two such terms whose sum will be -12x and product will be 36x². These two terms are -6x and -6x

So, the above expression can be written as:

x^2-6x-6x+36=0\\\\ x(x-6)-6(x-6)=0\\\\ (x-6)(x-6)=0\\\\ (x-6)^{2}=0\\\\ x-6=0\\\\ x=6

This means, the zero of f(x) occurs at x = 6 only.

8 0
3 years ago
What is the circumference of a circle whose radius is 13?
Inessa05 [86]

Answer:

Circumference, C = 81.68 units

Step-by-step explanation:

Given that,

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We need to find the circumference of the circle. The circumference of a circle is the sum of the outer boundary. For a circle, it is given by :

C=2\ \pi r

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C = 81.68 units

So, the circumference of the circle is 81.68 units. Hence, this is the required solution.

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Step-by-step explanation:

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