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Maurinko [17]
2 years ago
10

The volume of a gas is 550 mL at 960 mm Hg and 200.0 o C. What volume would the

Mathematics
1 answer:
kumpel [21]2 years ago
4 0

Answer:

V_2 = \frac{P_1 V_1 T_2}{T_1 P_2}

And replacing the info we have:

V_2 = \frac{960 mm Hg * 550 mL *423.15 K}{473.15 K*830 mm Hg}=568.920 mL=0.5689 L

Step-by-step explanation:

For this case we wan assume that we have an ideal gas and we can use this relation:

\frac{P_1 V_1}{T_1} =\frac{P_2 V_2}{T_2}

And for this case we know:

P_1 = 960 mm Hg

T_1 = 200+273.15 K =473.15 K

Becuase K = C +273.15

V_1 =550 ml = 0.55L

Because 1L = 1000 mL

P_2 = 830 mm Hg

T_2 = 150+273.15 K= 423.15K

And if we solve for V2 we got:

V_2 = \frac{P_1 V_1 T_2}{T_1 P_2}

And replacing the info we have:

V_2 = \frac{960 mm Hg * 550 mL *423.15 K}{473.15 K*830 mm Hg}=568.920 mL=0.5689 L

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seropon [69]

Answer:

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

Step-by-step explanation:

According to the statement, let A(x,y) = (14,21) and B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A}). The equation of the line in point-slope form is defined by the following formula:

y-y_{A} = m\cdot (x-x_{A}) (1)

Where:

x_{A}, y_{A} - Coordinates of the point A, dimensionless.

m - Slope, dimensionless.

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}} (2)

If we know that x_{A} = 14 and y_{A} = 21, then the equation of the line in point-slope form is:

x_{B} = 1.25\cdot (14)

x_{B} = 17.5

y_{B} = 0.75\cdot (21)

y_{B} = 15.75

From (2):

m = \frac{15.75-21}{17.5-14}

m = -\frac{3}{2}

By (1):

y-21 = - \frac{3}{2}\cdot (x-14)

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

5 0
3 years ago
twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only
Karolina [17]

donuts and cream puffs were  45 & 4 respectively !

<u>Step-by-step explanation:</u>

Here we have , twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only 5 less than the number of donuts   We need to find how many donuts and cream puffs were there . Let's find out:

Let number of donuts and cream puffs are x & y respectively ! So ,

  • twice the number of donuts was only 6 less than 24 times the number of cream puffs

According to this statement equation is :

⇒ 2x=24y-6

⇒ x=12y-3            ................(1)

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According to this statement equation is :

⇒ 10y= x-5

⇒ x=10y+5               ................(2)

Equation (1) & (2) :

⇒ 12y-3=10y+5

⇒ 2y=8

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Putting  y=4 in  x=12y-3  :

⇒ x = 12(4)-3

⇒ x = 45

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3 years ago
A company makes a profit of $50 per software program and $35 per video game. the company can produce at most 200 software progra
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Let x = software program
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