Question

on the axes provided, label pressure on the horizontal axis from 0 mb to 760 mb and volume on the vertical from 0 to 1 ml. assign values to axes divisions in such a way that you occupy almost all the space on both axes. now locate and label the points: (90, 0.5), (700, 0.18), (400, 0.2), (600, 0.15), (760, 0.1)

Explanation:

Step1: Set up Horizontal Axis (Pressure)

The horizontal axis (x - axis) represents pressure from 0 to 760 mb. To occupy almost all the space, we can divide the x - axis into intervals. The range is \(760 - 0=760\) mb. If we assume the grid has, say, \(n\) divisions, we can choose a suitable scale. Let's say we use a scale where each major division is 100 mb (since 760 is close to 800, and 800/8 = 100, but we can adjust). So we mark 0, 100, 200, 300, 400, 500, 600, 700, 760 on the x - axis.

Step2: Set up Vertical Axis (Volume)

The vertical axis (y - axis) represents volume from 0 to 1 mL. The range is \(1 - 0 = 1\) mL. We can divide the y - axis into intervals. For example, if we use a scale where each major division is 0.1 mL, we mark 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1 on the y - axis.

Step3: Locate Point (90, 0.5)

• For the x - coordinate (pressure) = 90 mb: Since our major x - divisions are at 100 mb intervals, 90 mb is 10 mb less than 100 mb. So we find the position between 0 and 100 mb, closer to 100 mb (since 90 is 90% of the way from 0 to 100).
• For the y - coordinate (volume) = 0.5 mL: This is at the mid - point of the y - axis (since 0.5 is halfway between 0 and 1) if our major y - divisions are at 0.1 mL intervals, it's 5 intervals above 0 (since \(0.5\div0.1 = 5\)).

Step4: Locate Point (700, 0.18)

• For the x - coordinate (pressure) = 700 mb: This is at the 700 mb mark on the x - axis (which is 7 major divisions from 0, if each division is 100 mb).
• For the y - coordinate (volume) = 0.18 mL: Since each major y - division is 0.1 mL, 0.18 is 1.8 intervals above 0. So we find the position between 0.1 and 0.2 mL, 0.08 mL above 0.1 mL (or 80% of the way from 0.1 to 0.2).

Step5: Locate Point (400, 0.2)

• For the x - coordinate (pressure) = 400 mb: This is 4 major divisions from 0 on the x - axis (at 400 mb mark).
• For the y - coordinate (volume) = 0.2 mL: This is 2 major divisions from 0 on the y - axis (at 0.2 mL mark).

Step6: Locate Point (600, 0.15)

• For the x - coordinate (pressure) = 600 mb: This is 6 major divisions from 0 on the x - axis (at 600 mb mark).
• For the y - coordinate (volume) = 0.15 mL: This is halfway between 0.1 and 0.2 mL on the y - axis (since \(0.15-0.1 = 0.05\) and \(0.2 - 0.15=0.05\)).

Step7: Locate Point (760, 0.1)

• For the x - coordinate (pressure) = 760 mb: This is at the end of the x - axis (760 mb mark).
• For the y - coordinate (volume) = 0.1 mL: This is 1 major division from 0 on the y - axis (at 0.1 mL mark).

Answer:

To plot the points:

1. Set Axes Scales:

• Horizontal (Pressure): Mark 0, 100, 200, 300, 400, 500, 600, 700, 760 mb (adjusting the spacing to fill the axis).
• Vertical (Volume): Mark 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1 mL (adjusting the spacing to fill the axis).

1. Plot Points:

• \((90, 0.5)\): Near 100 mb on x - axis, at 0.5 mL on y - axis.
• \((700, 0.18)\): At 700 mb on x - axis, between 0.1 and 0.2 mL on y - axis (closer to 0.2).
• \((400, 0.2)\): At 400 mb on x - axis, at 0.2 mL on y - axis.
• \((600, 0.15)\): At 600 mb on x - axis, halfway between 0.1 and 0.2 mL on y - axis.
• \((760, 0.1)\): At 760 mb on x - axis, at 0.1 mL on y - axis.

(Note: The actual plotting would be done on the provided grid by finding the appropriate x and y coordinates based on the chosen scale for the axes.)